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We study the topological charge distribution of the SU(3) Yang--Mills theory with high precision in order to be able to detect deviations from Gaussianity. The computation is carried out on the lattice with high statistics Monte Carlo…

高能物理 - 格点 · 物理学 2015-10-12 Marco Cè , Cristian Consonni , Georg P. Engel , Leonardo Giusti

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

Recent software advances now allow large-scale lattice studies of the Corrigan--Ramond large-$N_C$ limit of Yang-Mills theory coupled with a two-index antisymmetric fermion, providing a path to SUSY Yang-Mills. We are currently generating…

高能物理 - 格点 · 物理学 2026-03-27 Pietro Butti , Michele Della Morte , Benjamin Jäger , Sofie Martins , J. Tobias Tsang

In lattice calculations, the approach to the continuum limit is hindered by the severe freezing of the topological charge, which prevents ergodic sampling in configuration space. In order to significantly reduce the autocorrelation time of…

高能物理 - 格点 · 物理学 2021-05-19 Guido Cossu , David Lancaster , Biagio Lucini , Roberto Pellegrini , Antonio Rago

In Yang-Mills theory, the cumulants of the na\"ive lattice discretization of the topological charge evolved with the Yang-Mills gradient flow coincide, in the continuum limit, with those of the universal definition. We sketch in these…

高能物理 - 格点 · 物理学 2018-11-26 Marco Cè

Towards the goal of extracting the continuum properties, we have studied the Topological Charge Density Correlator (TCDC) and the Inverse Participation Ratio (IPR) for the topological charge density ($q(x)$) in SU(3) Lattice Yang-Mills…

高能物理 - 格点 · 物理学 2015-04-15 Abhishek Chowdhury , A. Harindranath , Jyotirmoy Maiti

We present a precise computation of the topological charge distribution in the $SU(3)$ Yang-Mills theory. It is carried out on the lattice with high statistics Monte Carlo simulations by employing the clover discretization of the field…

高能物理 - 格点 · 物理学 2014-10-31 Marco Cè , Cristian Consonni , Georg P. Engel , Leonardo Giusti

We apply a machine learning technique for identifying the topological charge of quantum gauge configurations in four-dimensional SU(3) Yang-Mills theory. The topological charge density measured on the original and smoothed gauge…

高能物理 - 格点 · 物理学 2021-02-01 Takuya Matsumoto , Masakiyo Kitazawa , Yasuhiro Kohno

We consider the lattice topological charge density introduced by Hasenfratz, Laliena and Niedermayer and propose its eigenmode expansion as a tool to investigate the structure of topological charge fluctuations in QCD. The resulting…

高能物理 - 格点 · 物理学 2008-11-26 I. Horvath , S. J. Dong , T. Draper , F. X. Lee , K. F. Liu , H. B. Thacker , J. B. Zhang

We investigate how the topological charge density in lattice QCD simulations is affected by violations of chiral symmetry in different fermion actions. To this end we compare lattice configurations generated with a number of different…

高能物理 - 格点 · 物理学 2012-01-10 Falk Bruckmann , Nigel Cundy , Florian Gruber , Thomas Lippert , Andreas Schäfer

We present a precise computation of the topological susceptibility $\chi_{_\mathrm{YM}}$ of SU$(N)$ Yang-Mills theory in the large $N$ limit. The computation is done on the lattice, using high-statistics Monte Carlo simulations with $N=3,…

高能物理 - 格点 · 物理学 2016-10-28 Marco Cè , Miguel García Vera , Leonardo Giusti , Stefan Schaefer

We investigate how the topological charge density in lattice QCD simulations is affected by violations of chiral symmetry caused by the fermion action. To this end we compare lattice configurations generated with a number of different…

高能物理 - 格点 · 物理学 2012-01-10 Falk Bruckmann , Nigel Cundy , Florian Gruber , Thomas Lippert , Andreas Schäfer

We study the structure of the confining string in Yang-Mills theory using the method of the field strength correlators. The method allows us to demonstrate that both the local fluctuations of the topological charge and the gluon condensate…

高能物理 - 唯象学 · 物理学 2008-11-26 M. N. Chernodub , I. E. Kozlov

The impact of dynamical fermions on the vacuum structure of QCD is explored. Of particular interest is the topological charge correlator, $<q(x) q(0) >$, where negative values at small $x$ reveal a sign-alternating layered structure to the…

高能物理 - 格点 · 物理学 2008-11-26 Peter J. Moran , Derek B. Leinweber

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…

The topological susceptibility of the SU(3) random vortex world-surface ensemble, an effective model of infrared Yang-Mills dynamics, is investigated. The model is implemented by composing vortex world-surfaces of elementary squares on a…

高能物理 - 格点 · 物理学 2011-02-01 Michael Engelhardt

We study the autocorrelations of observables constructed from the topological charge density, such as the topological charge on a time slice or in a subvolume, using a series of hybrid Monte Carlo simulations of pure SU(3) gauge theory with…

高能物理 - 格点 · 物理学 2014-10-15 Greg McGlynn , Robert D. Mawhinney

We study the two-point Topological Charge Density Correlator (TCDC) in lattice QCD with two degenerate flavours of unimproved Wilson fermions and Wilson gauge action at two values of lattice spacings and different volumes, for a range of…

高能物理 - 格点 · 物理学 2013-01-11 Abhishek Chowdhury , Asit K. De , A. Harindranath , Jyotirmoy Maiti , Santanu Mondal

Overlap fermions preserve a remnant of chiral symmetry on the lattice. They are a powerful tool to investigate the topological structure of the vacuum of Yang-Mills theory and full QCD. Recent results concerning the localization of…

高能物理 - 格点 · 物理学 2011-04-01 E. -M. Ilgenfritz , K. Koller , Y. Koma , G. Schierholz , V. Weinberg

We study the topological charge and the topological susceptibility in lattice QCD with two degenerate flavors of naive Wilson fermions at two values of lattice spacings and different volumes, for a range of quark masses. Configurations are…

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