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Jiang, Boju Ed. Topological fixed point theory and applications. Holme, A. Algebraic geometry sundance Carreras, F. Differential geometry. Luck, Wolfgang Transformation groups and algebraic k-theory QA Imkeller, Peter Two-parameter martingales and their quadratic variation QA Pohlers, W. Proof Theory QA9. Jacobsen, L. Analytic theory of continued fractions III. Chern, S. Dolecki, S. Optimization QA Malliavin, M. Simewone, B. Accardi, L. Quantum probability and applications III.

Carasso, C. Nonlinear hyperbolic problems. Cwikel, M. Function spaces and applications QA Steprans, J. Set theory and its applications. Jannsen, Uwe Mixed motives and algebraic k-theory QA Seligman, George B. Constructions of lie algebras and their modules QA Barth, W. Watanabe, S. Probability theory and mathematical statistics. A1 U87 Kim, A. Groups-Korea Aguade, J. Turner, P.


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Numerical analysis and parallel processing. Numerical methods for partial differential equations. Proceedings of a Conference held in Shanghai, P. China, March , QA N Quantum probability and applications IV. Proceedings, Paris, QA S45 Alladi, K. Lelong, L P. Lelong - P. Dolbeault - H.. Gill, T. W: Eds. Nonlinear semigroups, partial differential equations and attractors. Proceedings of a Symposium held in Washington, D. Bouleau, N; Feyel, D. Ebeling, Wolfgang The monodromy groups of isolated singularities of complete intersections QA S8 E Baldwin, J.

Classification theory. Proceedings of the U. Cambanis, S. Probability theory on vector spaces IV. Prato, G. Stochastic partial differential equations and applications II. Wustholz, G. Ballico, E. Algebraic curves and projective geometry. Proceedings of the conference held in Trento, Italy, March , QA A Manin, Yurii Ivanovich Ed. Shinoda, J. Mathematical logic and applications. Petkovic, Miodrag Iterative methods for simultaneous inclusion of polynomial zeros QA Saff, E.

Approximation theory, Tampa. Bellen, A. Numerical methods for ordinary differential equations. Miller, H. Algebraic topology. Anile, A. Relativistic fluid dynamics QA R45 Knowles, Ian W. Harmonic analysis and partial differential Equations. Chudnovsky, V. Number theory.

TANIGUCHI SYMPOSIA

Mardesic, S. Geometric topology and shape theory. Proceedings of a Conference held in Dubrovnik, Yugoslavia, Sept. Kegel, O. Group theory. Schlichewei, H. Neher, Erhard Jordan triple systems by the grid approach QA Heyer, H. Probability measures on groups IX. Rumely, Robert S. Capacity theory on algebraic curves QA R Koh, S. Invariant theory QA I Pierce, John Franklin.

Singularity theory, rod theory, and symmetry-breaking loads QA With large efforts under way to include QED effects in lattice calculations, it is important to understand and correct for the associated FV effects. On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics. We perform an analysis of QCD lattice data on charmed meson masses. Of particular interest are those counter terms that are active in the exotic flavour sextet channel.

A chiral expansion sche On isospin breaking in tau decays for g-2 from Lattice QCD. Hadronic spectral functions of tau decays have been used in the past to provide an alternative determination of the LO Hadronic Vacuum Polarization relevant for g-2 of the muon. We present preliminary res On the calculation and use of non-zero momentum correlators in lattice simulations. In lattice simulations one generally projects correlators over zero spatial momentum to calculate masses and related spectral data.

The sum over space lattice points, however, discards information which may be useful especially in the calculation of disconnected diagrams. I will show that, by using momentum conservation, the calculation of non-zero momentum components of disconnected diagrams an On the definition of schemes for computing leading order isospin breaking corrections. We propose a particular 'line of constant physics' i. We show this scheme is in a class of schemes that allow for the separation of the electromagnetic and strong isospin breaking corrections at leading order, such that scheme-ambiguities are higher order in isospin breaking effects.

On two-flavor QCD adj. I use the traditional and more recently discovered 1-form discrete 't Hooft anomaly matching conditions and propose a novel realization of the symmetries of SU 2 Yang-Mills theory with two massless adjoint Weyl fermions in the strongly-coupled regime. The theory has a spectrum identical to the one obtained by compactifying it on a small circle. This offers a new perspective on the lattice studies We look at the advantages of FPGAs vs. We also prospectively consider variance reduction algorithms and the adv PDFs in small boxes.

Such studies require the evaluation of matrix of non-local operators. Since this was first proposed, there has been an intense investigation of all possible systematics except for the effects associated with the fact that lattice QCD is necessarily defined in a finite spacetime. In this talk, I present the first att Parity-positive Baryon Spectra on Isotropic Lattice.

The spectra are extracted from two-point functions using variational analysis. The results are compare We present numerical results on the bare quasi-PDF matric element for the pion. We introduce the feedforward neural network in the path optimization method POM to evade the sign problem in field theories. POM is based on the complexification of integral variables as in the complex Langevin method and the Lefschetz thimble method.

The integration path is optimized in the complexified variable space by maximizing the average phase factor. In the last Lattice meeting [1] and i Session: Poster reception. As a byproduct, we present the quark mass renormalization facto Phase Fluctuations and Sign Problems. Correlation functions for baryons, or generically systems with different U 1 charges than the vacuum, have phase fluctuations that lead to sign problems obstructing studies of finite-density matter using correlation functions.

I will discuss phase fluctuations in lattice QCD and in a one-dimensional complex scalar field toy model and methods to exploit the structure of phase fluctuations to avoid Lattice QCD estimates of correlation functions with non-zero U 1 baryon number suffer from a well known signal-to-noise problem at large time separations. Previous work has shown that this can be attributed to a widening phase distribution over a circular domain, where standard estimators perform exponentially poorly as the distribution approaches uniform.

We present a new approach to this proble Composite operators of bare fermion fields evolved along a trajectory on field space by means of flow equations get renormalised multiplicatively. Therefore, even in the case of Wilson fermions, the renormalization of expectation values of fermion operators can be simplified drastically on the lattice. Phase structure of multiflavor gauge theories.

A SU 3 gauge theory with 12 flavors is a model of great interest for beyond the standard model physics. Running RHMC simulations for different masses and betas we study the Fisher zeroes in the vicinity of the endpoint of a line of first order transitions. The pinching of these zeros with respect to increasing volume provide information about a possible unconventional continuum limit. We also stu Phase structure of strongly interacting four-fermion theory.

We study a four dmensional lattice model comprising four reduced staggered fermions coupled to a scalar field through an SO 4 invariant interaction. Symmetries of the lattice theory prohibit fermion mass terms. If we switch of the kinetic term for the scalar field we obtain a model with a four fermion interaction which has been the focus of several recent lattice investigations.

The results of In order to investigate the quark mass dependence of the QCD transition we vary the values of quark masses from 0. We found I will describe how we construct the coordinate space formulation of the pion transition form factor. We present the current status of a non-perturbative lattice calculation of the pion distribution amplitude by the RQCD collaboration. A combined continuum and chiral extrapolation to the p Pion Form Factor Calculation. We present the form factor of pion using overlap fermion.

With multi--mass algorithm, we do an extrapolatiion of finite lattice spacing and varies valence quark masses Pion distribution amplitude from Euclidean correlation functions: Universality and higher-twist effects. We study the feasibility to extract the leading twist pion distribution amplitude DA and the higher twist normalization constant from suitably chosen Euclidean correlation functions with two local currents at a spacelike separation. We demonstrate the advantages of considering several correlation functions simultaneously and extracting the pion DA from a global fit.

This position space approach Pion-pion scattering with physical quark masses. Using all-to-all propagators, we produce thousands of correlator momentum combinations. Energy spectra and phase shifts, including excited states, are then e The system has 8 cores and 16 GB memory par node, of which theoretical peak is GFlops 82, nodes in total. Its feature, as many as registers par core and as large as 0. In order to use more registers, we change some of the data structure and rewrite matrix Precise determinations of quark masses. We discuss the determination of quark masses using the MILC highly improved staggered-quark ensembles with four flavors of dynamical quarks.

Lectures notes ...

We extract quark masses from heavy-light pseudoscalar meson masses by making use of heavy quark effective theory HQET and continuum-QCD perturbative calculations. While heavy-light meson masses can be measured very precisely on lattice, perturbative calcula This and the Probing the composite light scalar of the sextet model for dilaton fingerprints. A case study is presented for the analysis of the SU 3 gauge theory with two fermions in the two-index symmetric representation sextet model.

It is shown that statistical methods which are based on Bayesian Markov Chain Monte Carlo analysis are important for robust tests of dilaton fingerprints in latti Progress and prospects of lattice supersymmetry. Supersymmetry plays prominent roles in modern theoretical physics, as a tool to improve our understanding of quantum field theory, as an ingredient in many new physics models, and as a means to study quantum gravity via holographic duality.

Lattice investigations of supersymmetric field theories have a long history but often struggle due to the interplay of supersymmetry with the discretization o Progress in Two-Nucleon Spectroscopy. Anchoring the nuclear interaction in QCD is a long-outstanding problem in nuclear physics. While the lattice community has made enormous progress in mesonic physics and single nucleon physics, continuum-limit physical-point multi-nucleon physics has remained out of reach.

I will review CalLat's strategy for multi-nucleon spectroscopy and our latest results. Progress in the lattice simulations of Sp 2N gauge theories. We report on the status of our program to simulate Sp 2N gauge theories on the lattice. Preliminary results of meson spectrum will be presented along with discussion of the lattice systematics.

Toward partial Progress on parton pseudo distributions I. In this presentation we will show theoretical developments that facilitate the better reconstruction of light cone parton distributions starting from reduced Ioffe time pseudo distributions calculated on the lattice. Progress on parton pseudo distributions II. Progress on relativistic three-particle quantization condition. Topics include the numerical implementation of the quantization condition in the isotropic approximation, the generalization o Progress on the nature of the QCD thermal transition as a function of quark flavors and masses.

Progress towards understanding the H-dibaryon from lattice QCD.

Eugene Krasovskii | Ikerbasque, Basque Foundation for Science

Yet, conclusive evidence for such a bound state is still lacking. Results from various lattice QCD calculations show substantial disagreement for the binding energy. Since there is no conclusive evidence for or against the existence of a bound Prony methods for extracting excited states. A Prony method is an algebraic approach to extracting spectral energies from hadronic correlation functions. The simplest example is the effective mass commonly used in lattice gauge theory. We show our exploration of this method to extract multiple excited states for a pion point-point correlation function for an SU 3 gauge theory with 8 flavors.

We discuss our approach for dealing with close Richard C. Proton decay matrix element on lattice at physical pion mass. Proton decay is one of possible signatures of baryon number violation, which has to exist to explain the baryon asymmetry and the existence of nuclear matter. Proton decays must be mediated through effective low-energy baryon number violating operators made of three quarks and a lepton.

We calculate matrix elements of these operators between an initial proton and various final pseudoscalar mesons Proton spin decomposition. We calculate the intrinsic quark and gluon spin contribution to the total proton spin using overlap fermions on Domain-wall ensembles. The imperative non-perturbative renormalization to obtain the quark and glue angular momen QCD at non-zero density and phenomenology. In the last few years, numerical simulations of QCD on the lattice have reached a new level of accuracy.

A wide range of thermodynamic quantities is now available in the continuum limit and for physical quark masses. This allows a comparison with measurements from heavy ion collisions for the first time. I will review the state-of-the-art results from lattice simulations of QCD thermodynamics and QCD crossover at zero and non-zero baryon densities. We will present new state-of-the-art lattice QCD results on the chiral crossover temperature of QCD for moderately large baryon chemical potential. Firstly, we will present a more precise updated result for the QCD pseudo-critical temperature at zero baryon chemical potential, obtained from all possible second-order chiral susceptibilities that diverge in the chiral limit.

Then we will present new The QCD phase diagram at finite temperature and density has a very rich physical structure which can be explored with first principle lattice QCD calculations. QED corrections to Pion and Kaon decay constants. Predictions for pion and kaon leptonic decay constants in Lattice QCD have reached sub-percent level precision.

Since it is expected that isospin breaking corrections become important at this level of precision, further progress on the lattice requires inclusion of these effects. Given the phenomenological relevance for instance in CKM analyses this seems a worthwhile endeavour. In this talk I pre The state-of-art lattice QCD precision of this process will soon achieve a value for which QED effects can no longer be neglected.

The inclusion of QED in such calculations is planned and the formalism to relate the finite Quantum field theory on a causal set. Causal set theory, originally introduced by Rafael Sorkin, is a model of spacetime as a partially ordered set: an element of a set corresponds to a point in spacetime, while partial ordering corresponds to lightcone causal relation.

There is no coordinate system: all of the geometry is to be deduced from partial ordering alone. Consequently, one has to rewrite Lagrangians in quantum field theory i Lattice QCD provides several avenues for the high precision determination of quark masses. The calculation involves the study of various sources of systematic uncertainty, including an analysis of possible non Quark orbital angular momentum in the proton evaluated using a direct derivative method.

Quark orbital angular momentum OAM in the proton can be calculated directly given a Wigner function encoding the simultaneous distribution of quark transverse positions and momenta. This distribution can be accessed via proton matrix elements of a quark bilocal operator the separation in which is Fourier conjugate to the quark momentum featuring a momentum transfer which is Fourier conj Quasi-PDFs from Twisted mass fermions at the physical point.

Parton distribution functions PDFs provide a detailed description of hadron structure and are crucial inputs in analyses of collider data. Radiative corrections to decay amplitudes in lattice QCD. The precision of lattice QCD computations of many quantities have reached such a precision that isospin breaking corrections, including electromagnetism, must be included if further progress is to be made in extracting fundamental information, such as the values of Cabibbo-Kobayashi-Maskawa matrix elements, from experimental measurements.

I discuss the framework for including radiative corrections Recent Developments in x-dependent Structure Calculations. First principles calculations of the Bjorken-x dependence of hadron structure have been a long-standing challenge for lattice QCD. This year marks a significant milestone: the first determinations of parton distribution functions, which capture the longitudinal momentum structure of fast-moving hadrons, at physical pion masses.

Moreover, there has been significant progress in our understanding of I will review the recent progress and results on the bulk thermodynamic properties of QCD matter from Lattice. I will also stress upon the fact that Relational databases for lattice data analysis. Numerical studies in lattice gauge theory require the organization and analysis of large volumes of data. These data and analyses thereof can be viewed as a sequence of maps and reductions, a structure that can be represented naturally using relational databases.

Organized in this way, the analysis of even large, heterogenous datasets is straightforward to automate. We present in abstract our meth Relations between scattering amplitude and Bethe-Salpeter wave function in quantum field theory. We discuss an exact relation between the two-particle scattering amplitude and the Bethe-Salpeter BS wave function inside the interaction range in quantum field theory. In the relation the reduced BS wave function given by the BS wave function plays an essential role. Through the relation the on-shell and half off-shell amplitudes can be calculated.

We also show that the solution of Schrodinger Renormalization group properties of scalar field theories using gradient flow. Gradient flow has proved useful in the definition and measurement of renormalized quantities on the lattice. Recently, the fact that it suppresses high-modes of the field has been used to construct new, continuous RG transformations on the lattice, distinct from the usual blocking techniques in spin models and gauge theories.

In this talk, we discuss two approaches to define an RG transformation w This method allows for a clear derivation of the Wilson coefficients of the CP-violating effective action as they pertain to the renormalization group equation. This perturbative calculation is the first step towards a high-energ Renormalization on the fuzzy sphere. We study renormalization on the fuzzy sphere.

We perform Monte Carlo simulation of a scalar field theory on the fuzzy sphere, which is described by a Hermitian matrix model. We show that correlation functions defined by using the Berezin symbol are made independent of the matrix size, which plays a role of a UV cutoff, by tuning a parameter of the theory.

We also find that the theories on the phas Renormalized quasi parton distribution function of pion. We present numerical results on the non-perturbative renormalization of the quasi-PDF operator as determined using Wilson-Clover valence fermions on HISQ ensembles at two different lattice spacings, with and without the explicit subtraction of the divergent Wilson line self-energy contribution.

Results for the mass difference between the long- and short-lived K mesons for physical quark masses. Recent lattice QCD results for hadron light-by-light scattering HLbL and its contribution to muon anomalous magnetic moments g-2 will be reviewed. There are currently more than three standard deviations between the BNL experimental result and the theoretical prediction.

The uncertainty of theory Review on Composite Higgs Models. Composite Higgs Models explore the possibility that the Higgs boson is an excitation of a new strongly interacting sector giving rise to electro-weak symmetry breaking. After describing how this new sector can be embedded into the Standard Model of elementary particle physics meeting experimental constraints, I will review efforts by the community to explore the physics of this new strong interact Recent lattice QCD results for hadron vacuum polarization HVP and its contribution to muon anomalous magnetic moments g-2 will be reviewed.

There currently exists tension of more than 3-sigma deviations in muon g-2 between the BNL experiment with 0. The lattice QCD predictions without recourse Reweighting Lefschetz Thimbles. One of the main challenges in simulations on Lefschetz thimbles is the computation of the relative weights of contributing thimbles. In this paper we propose a solution to that problem by means of computing those weights using a reweighting procedure.

Besides we present recipes for finding parametrizations of thimbles and anti-thimbles for a given theory. Moreover, we study some approaches to comb Roper State from Overlap Fermion. It is found that the results are consistent with those from the sequential empirical Bayes SEB method. They are about MeV lower than those with the clover fermion at comparable lattice spacing and pion mass. To unders Using the perturbation theory, we find that two-point function of flowed gauge multiplet is UV-finite at the one-loop level when four dimensional SYM is renormalized.

Scalar, Axial and Tensor Matrix elements in light nuclei. I will discuss recent calculations of the matrix elements of scalar, axial and tensor quark bilinear operators in light nuclei at unphysically heavy values of the quark masses. Axial matrix elements control the Gamow-Teller decays of nuclei and have potential for precision tests of the Standard Model.

Tensor matrix elements determine the quark chromo-electric dipole moment and are important in the Various schemes of defining dimensionless variables to parameterize the light and strange quark mass are used to estimate systematic uncertainties in the scale setting. Scattering in Euclidean formulations of relativistic quantum theory. These are both provided by the Osterwalder-Schrader reconstruction theorem, where the input is a collection of Euclidean-covariant reflection-positive distributions. In this representation both Hilbert space inner pr Scattering length from BS wave function inside the interaction range.

We evaluate scattering lengths by use of a scattering amplitude calculated with the Bethe-Salpeter wave function inside the interaction range. The results are compared with each other to confirm consistency. Furthermore, a half off-shell amplitude i Scattering phase shift determinations from a two-scalar field theory and resonance parameters from QCD scattering. The two-scalar field model of Rummukainen and Gottleib is revisited, except the limit of large quartic couplings is not used and a Symanzik improved action is used.

We report on our determination of form factors for Bs semi-leptonic decays and extract ratios to investigate lepton flavor universality violations. In the valence sector we use domain-wall light, strange, an The results are important for constraining or revealing physics beyond the Standard Model. A strong candidate to search for new physics Beyond the Standard Model is neutrinoless double beta decay.

Observation of this very rare nuclear process which violates lepton number conservation, would imply the neutrino sector has a majorana mass component and may also provide an explanation for universe's matter-antimatter asymmetry. In the case a heavy majorana neutrino is exchanged in this proc Simulating Quantum Chromodynamics coupled with Quantum Electromagnetics on the lattice.

Including electromagnetic effects is critical for the next level of precision in phenomenology. Examples include calculating the higher order QED contributions to the hadronic-vacuum-polarization contribution to the muon anomalous magnetic moment and calculating the QED contributions to meson and bar Simulating quantum field theory with a quantum computer.

Session: Plenary. This symmetry may be used to obtain a dual representation where weights in the functional integral are real but not necessarily po Type: Parallel Session: Algorithms and Machines. Simulations of gaussian systems in Minkowski time. Many research programs aiming to deal with the sign problem were proposed since the advent of lattice field theory. Several of these try to achieve this by exploiting properties of analytic functions. This is also the case for one of the approaches we're developing.

There auxillary complex variables are introduced and desired weight is obtained after integrating them out. In this talk I will eluci We show that using the multisplitting algorithm as a preconditioner for the conjugate gradient inversion of domain wall fermion Dirac operators effectively reduces the inter-node communication cost, at the expense of performing more on-node floating point operations.

Compared to Schwarz domain decomposition solver algorithms our approach enforces Dirichlet boundary conditions consistently on the n Spatial structure of the color field in the SU 3 flux tube. We report on the chromoelectric and chromomagnetic fields generated by a static quark-antiquark pair at zero temperature in pure gauge SU 3. From the spatial structure of chromoelectric field we extract its nonperturbative part and discuss its properties.

Spectral functions from machine learning. The spectral function is the key for understanding the in-medium hadron properties as well as the transport properties of the medium. Such as the dissociation temperatures of quarkonia, diffusion coefficients, dilepton emission rates as well as viscosities can be read-off from various corresponding spectral functions. As well-known that the spectral function is hidden in the lattice-computable Split Grid and Block Lanczos algorithm for efficient eigenpair generation.

The increasing unbalance between computing capabilities of individual nodes and internode communication makes it highly desirable for any Lattice QCD algorithm to minimize the amount of off-node communication. One of the relatively new methods for this is the 'split-grid' or 'split-domain', where data is rearranged within the running of a single binary, so that the routines which requires si Stabilising complex Langevin simulations.

We present results of our technique of dynamic stabilisation DS applied to complex Langevin simulations of QCD in the heavy-dense limit and with staggered quarks. We show that DS is able to keep simulations stable, providing results compatible with Monte-Carlo simulations, where the latter is applicable.

I will report on our recent work [ Given the renormalization properties of flowed operators, the procedure promises a reduction of the uncertainties in the determination of the spin independent SI elastic cross section of dark matter models involving WIMP-nucleon interactions. Chiral symmetry and a small flow-tim The determination of strange form factors proceeds by computing quark-disconnected diagram The static potential V r between a static quark and a static antiquark separated by a distance r is defined as the energy of the ground state of this system.

As a consequence of confinement, the energy between the quark-antiquark pair is contained inside a color flux tube, the so called string. As soon as the energy is high enough, the gluonic string connecting the quarks will break due to pair Strong Decay Analysis of Bottom Mesons. In the last decade, a significant experimental progress has been achieved in studying the heavy-light meson spectroscopy.

Heavy-light mesons composed of one heavy quark Q and a light quark q are useful in understanding the strong interactions in the non perturbative regime. Experiments like LHCb, Babar etc are providing many new states which are being added to their spectroscopy. But the informat Structure of pion and kaon from lattice QCD.

Direct lattice computation of the key measures of hadron structure such as the form factors, parton distribution functions, quark distribution amplitudes have always been challenging. We apply the generalized eigenvalue treatment to t The viscosity is given by three steps on lattice: 1 calculate two point correlation functions of the energy-momentum tensor, 2 derive the spectral function from the correlation function, 3 applying the Kubo's formula the viscosity is related to the spectral function. This talk is an overview of our recent investigations of supersymmetric and near conformal gauge theories.

In addition we have investigated theories that show indications for a conformal behaviour with an infrared fixed point. More recently we have included a mixed fundamental and adjoint Symmetric mass generation in a gauged system. We study a model of four reduced staggered fermions transforming in the bifundamental representation of an SU 2 xSU 2 symmetry group.

Single site mass terms are prohibited by this symmetry but a particular four fermi term is allowed. We gauge one of the SU 2 subgroups and examine the phase structure of the model.

Freely available

We find evidence that the theory forms a symmetric four fermion condensate at str Systematics in nucleon matrix element calculations. The current status of calculations of simple nucleon structure observables, such as the axial charge, will be reviewed. Recent calculations have produced steadily better control over the standard sources of systematic uncertainty, and there are now multiple groups doing calculations with near-physical quark masses. A major challenge is the combination of an exponentially decaying signal-to-noise r Taking the continuum limit in Lattice Quantum Gravity.

We present a study of the relative lattice spacing of different ensembles in the Euclidean dynamical triangulations approach to quantum gravity. We study the quantum fluctuations of the semiclassical backgrounds about de Sitter space following a similar analysis in causal dynamical triangulations and show how this can be used to determine the relative lattice spacing in our analysis.

The agreeme The QCD pressure at non-zero chemical potential mu is typically obtained via a Taylor expansion in mu. The Taylor coefficients are traces of powers of the inverse Dirac matrices, which are computed using many noisy estimators. Here, we present an alternative based on the Cauchy Residue Theorem and discuss its merits for the Taylor coefficients. We present results for lattice QCD in the limit of infinite gauge coupling on a discrete spatial but continuous Euclidean time lattice. A worm type Monte Carlo algorithm is applied in order to sample two-point functions which gives access to the measurement of mesonic temporal correlators.

Tensor Networks and their use for Lattice Gauge Theories. The term Tensor Network States TNS has become a common one in the context of numerical studies of quantum many-body problems. It refers to a number of families that represent different ansatzes for the efficient description of the state of a quantum many-body system. The tensor renormalization group attracts great attention as a new numerical method because it is free of the sign problem.

In addition to this striking feature, it has also an attractive aspect as a coarse-graining of space-time; that is to say, the computational cost scales logarithmically with the space-time volume. This fact allows us to aggressively approach the thermodynamic limit. While tak Testing a new gauge-fixed Fourier acceleration algorithm. In hybrid Monte Carlo evolution, by imposing a physical gauge condition, simple Fourier acceleration can be used to generate conjugate momenta and potentially reduce critical slowing down.

This modified gauge evolution algorithm does not change the gauge-independent properties of the resulting gauge field configurations. We describe this algorithm and present results from our first numerical ex This is the first calculation that includes the dominant finite-volume effects, as calculated in chiral perturbation theory at next-to-leading order.

Our r However, at temperatures above the chiral symmetry restoring transition it can not provide a global descrip- tion. The level-spacing distribution in lower part of the spectrum of the Dirac operator is Poisson-like. The eigenmodes are localized in space-time and separated from the res Partial differential equations.


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Kochman, Stanley O. Stable homotopy groups of spheres : a computer-assisted approach QA Anderson, Douglas Ross Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory QA Villani, V. Metivier, Michel; Watanabe, Shinzo Eds. Stochastic analysis. Biagioni, Hebe A. A nonlinear theory of generalized functions QA B Galbiati, M. Real analytic and algebraic geometry. Semigroups : theory and applications. Bullen, P. New integrals. Mimura, M. Homotopy theory and related topics.

Felix, Y. Algebraic topology rational homotopy. Sommese, A. Algebraic geometry. Lindenstrauss, J. Albert, C. Korezlioglu, H. Stochastic analysis and related topics. Langevin, M. Mccoy, Robert A. Topological properties of spaces of continuous functions QA M Algebraic geometry and complex analysis. Wright, Steve J. Colonius, Fritz Optimal periodic control QA Kalashnikov, V. Stability problems for stochastic models. Shirokov, Nikolai A.

Analytic functions smooth up to the boundary QA S Jiang, Boju Ed. Topological fixed point theory and applications. Holme, A. Algebraic geometry sundance Carreras, F. Differential geometry. Luck, Wolfgang Transformation groups and algebraic k-theory QA Imkeller, Peter Two-parameter martingales and their quadratic variation QA Pohlers, W. Proof Theory QA9. Jacobsen, L. Analytic theory of continued fractions III. Chern, S. Dolecki, S. Optimization QA Malliavin, M.

Simewone, B. Accardi, L. Quantum probability and applications III. Carasso, C. Nonlinear hyperbolic problems. Cwikel, M. Function spaces and applications QA Steprans, J. Set theory and its applications. Jannsen, Uwe Mixed motives and algebraic k-theory QA Seligman, George B. Constructions of lie algebras and their modules QA Barth, W. Watanabe, S. Probability theory and mathematical statistics.

A1 U87 Kim, A. Groups-Korea Aguade, J. Turner, P. Numerical analysis and parallel processing. Numerical methods for partial differential equations. Proceedings of a Conference held in Shanghai, P. China, March , QA N Quantum probability and applications IV. Proceedings, Paris, QA S45 Alladi, K. Lelong, L P. Lelong - P. Dolbeault - H.. Gill, T. W: Eds. Nonlinear semigroups, partial differential equations and attractors. Proceedings of a Symposium held in Washington, D. Bouleau, N; Feyel, D. Ebeling, Wolfgang The monodromy groups of isolated singularities of complete intersections QA S8 E Baldwin, J.

Classification theory. Proceedings of the U. Cambanis, S. Probability theory on vector spaces IV. Prato, G. Stochastic partial differential equations and applications II. Wustholz, G. Ballico, E.