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The overlap formalism of chiral fermions provides a tool to measure the index, Q, of the chiral Dirac operator in a fixed gauge field background on the lattice. This enables a numerical measurement of the probability distribution, p(Q), in…

高能物理 - 格点 · 物理学 2009-10-30 Rajamani Narayanan , Pavlos Vranas

We investigate the spectral flows of the hermitian Wilson-Dirac operator in the fundamental and adjoint representations on two ensembles of pure SU(2) gauge field configurations at the same physical volume. We find several background gauge…

高能物理 - 格点 · 物理学 2009-10-31 Robert G. Edwards , Urs M. Heller , Rajamani Narayanan

We calculate the topological susceptibility at 2.5 Tc and 4.1 Tc in SU(3) pure Yang-Mills theory. We define topology with the help of gradient flow and we largely overcome the problem of poor statistics at high temperatures by applying a…

高能物理 - 格点 · 物理学 2018-09-26 P. Thomas Jahn , Guy D. Moore , Daniel Robaina

A novel method to study the bulk thermodynamics in lattice gauge theory is proposed on the basis of the Yang-Mills gradient flow with a fictitious time t. The energy density (epsilon) and the pressure (P) of SU(3) gauge theory at fixed…

高能物理 - 格点 · 物理学 2015-09-07 Masayuki Asakawa , Tetsuo Hatsuda , Etsuko Itou , Masakiyo Kitazawa , Hiroshi Suzuki

We summarize our investigations of several aspects of $\mathcal{N}=1$ supersymmetric Yang-Mills (SYM) theory. We present our final results for SU(3) $\mathcal{N}=1$ SYM simulated with Wilson fermions. We also discuss the first test of the…

We develop a methodology based on out-of-equilibrium simulations to mitigate topological freezing when approaching the continuum limit of lattice gauge theories. We reduce the autocorrelation of the topological charge employing open…

We use recent results of Intriligator and Wecht [hep-th/0304128] to study the phase structure of $\NN=1$ super Yang-Mills theory with gauge group $SU(N_c)$, a chiral superfield in the adjoint, and $N_f$ chiral superfields in the fundamental…

高能物理 - 理论 · 物理学 2010-12-03 David Kutasov , Andrei Parnachev , David A. Sahakyan

The topological susceptibility is calculated within the Hamiltonian approach to Yang-Mills theory in Coulomb gauge, using the vacuum wave functional previously determined by a variational solution of the Yang-Mills Schroedinger equation.…

高能物理 - 理论 · 物理学 2008-11-26 Davide R. Campagnari , Hugo Reinhardt

We study the relations between two-dimensional Yang-Mills theory on the torus, topological string theory on a Calabi-Yau threefold whose local geometry is the sum of two line bundles over the torus, and Chern-Simons theory on torus bundles.…

高能物理 - 理论 · 物理学 2009-04-08 N. Caporaso , M. Cirafici , L. Griguolo , S. Pasquetti , D. Seminara , R. J. Szabo

Recently a new method to set the scale in lattice gauge theories, based on the gradient flow generated by the Wilson action, has been proposed, and the systematic errors of the new scales t0 and w0 have been investigated by various groups.…

高能物理 - 格点 · 物理学 2017-02-03 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

We present a numerical method to compute path integrals in effective SU(2) Yang-Mills theories. The basic idea is to approximate the Yang-Mills path integral by summing over all gauge field configurations, which can be represented as a…

高能物理 - 唯象学 · 物理学 2008-11-26 Marc Wagner

We continue our study of the large N phase transition in q-deformed Yang-Mills theory on the sphere and its role in connecting topological strings to black hole entropy. We study in detail the chiral theory defined in terms of uncoupled…

高能物理 - 理论 · 物理学 2010-02-03 Nicola Caporaso , Michele Cirafici , Luca Griguolo , Sara Pasquetti , Domenico Seminara , Richard J. Szabo

New results on the topology of the SU(2) Yang-Mills theory are presented. At zero temperature we obtain the value of the topological susceptibility by using the recently introduced smeared operators as well as a properly renormalized…

高能物理 - 格点 · 物理学 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo , R. Kirchner

We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation. The pseudoscalar meson mass as a function of hopping…

高能物理 - 格点 · 物理学 2010-04-30 Kei-ichi Nagai , Georgina Carrillo-Ruiz , Gergana Koleva , Randy Lewis

I present a brief review on some of the recent developments in topological quantum field theory. These include topological string theory, topological Yang-Mills theory and Chern-Simons gauge theory. It is emphasized how the application of…

高能物理 - 理论 · 物理学 2007-05-23 Jose M. F. Labastida

We investigate the gauge interaction induced by heavy fermions using both dimensional and lattice regularization. We study the condition under which heavy fermions induce a continuum gauge theory.

高能物理 - 格点 · 物理学 2009-10-22 Anna Hasenfratz

We investigate the spectral flows of the hermitian Wilson-Dirac operator in the fundamental and adjoint representations on two ensembles of pure SU(2) gauge field configurations at the same physical volume. We find several background gauge…

高能物理 - 格点 · 物理学 2009-10-31 Robert G. Edwards , Urs M. Heller , Rajamani Narayanan

In commonly used Monte Carlo algorithms for lattice gauge theories the integrated autocorrelation time of the topological charge is known to be exponentially-growing as the continuum limit is approached. This…

高能物理 - 格点 · 物理学 2022-07-11 Claudio Bonanno , Massimo D'Elia , Biagio Lucini , Davide Vadacchino

We study the parametrization of lattice spacing and thermodynamics of SU(3) gauge theory on the basis of the Yang-Mills gradient flow on fine lattices. The lattice spacing of the Wilson gauge action is determined over a wide range…

高能物理 - 格点 · 物理学 2015-11-18 Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda , Takumi Iritani , Etsuko Itou , Hiroshi Suzuki

It has been conjectured recently that the field theory limit of the topological string partition functions, including all higher genus contributions, for the family of CY3-folds giving rise to N=2 4D SU(N) gauge theory via geometric…

高能物理 - 理论 · 物理学 2007-05-23 Amer Iqbal , Amir-Kian Kashani-Poor