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We report on 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 definition of the topological charge…

高能物理 - 理论 · 物理学 2008-11-26 Leonardo Giusti , Silvano Petrarca , Bruno Taglienti

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

An ongoing effort to compute the topological susceptibility for the SU(3) Yang-Mills theory in the continuum limit with a precison of about 2% is reported. The susceptibility is computed by using the definition of the charge suggested by…

高能物理 - 格点 · 物理学 2010-02-03 Leonardo Giusti , Bruno Taglienti , Silvano Petrarca

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 compute the topological susceptibility for the SU(3) Yang--Mills theory by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r_0^4 chi = 0.059(3), which…

高能物理 - 理论 · 物理学 2009-11-10 Luigi Del Debbio , Leonardo Giusti , Claudio Pica

We present the results of a computation of the topological susceptibility in the SU(3) Yang--Mills theory performed by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum…

高能物理 - 格点 · 物理学 2009-11-10 Luigi Del Debbio , Leonardo Giusti , Claudio Pica

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

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

In this paper we investigate, by means of numerical lattice simulations, the topological properties of the trace deformed $SU(3)$ Yang-Mills theory defined on $S_1\times\mathbb{R}^3$. More precisely, we evaluate the topological…

高能物理 - 格点 · 物理学 2018-10-09 Claudio Bonati , Marco Cardinali , Massimo D'Elia

We present results from a numerical study of N=1 supersymmetric Yang-Mills theory using domain wall fermions. A set of dynamical simulations were performed for the gauge group SU(2) using the Wilson gauge action on 8^3x8 and 16^3x32…

高能物理 - 格点 · 物理学 2010-11-05 Michael G. Endres

We compute the topological susceptibility of the SU(N) Yang-Mills theory in the large-N limit with a percent level accuracy. This is achieved by measuring the gradient-flow definition of the susceptibility at three values of the lattice…

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

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

It is shown that the SO(3) gauge field configurations can be completely characterised by certain gauge invariant vector fields. The singularities of these vector fields describe the topological aspects of the gauge field configurations. The…

高能物理 - 理论 · 物理学 2009-11-07 E. Harikumar , Indrajit Mitra , H. S. Sharatchandra

We investigate the topological properties of the $SU(3)$ pure gauge theory by performing numerical simulations at imaginary values of the $\theta$ parameter. By monitoring the dependence of various cumulants of the topological charge…

高能物理 - 格点 · 物理学 2016-01-28 Claudio Bonati , Massimo D'Elia , Aurora Scapellato

The continued development of models that propose the existence of fractional topological objects in the Yang-Mills vacuum has called for a quantitative method to study the topological structure of $\mathrm{SU}(N)$ gauge theory. We present…

高能物理 - 格点 · 物理学 2024-05-21 Jackson A. Mickley , Waseem Kamleh , Derek B. Leinweber

We extend the definition of L\"uscher's lattice topological charge to the case of $4$d $SU(N)$ gauge fields coupled with $\mathbb{Z}_N$ $2$-form gauge fields. This result is achieved while maintaining the locality, the $SU(N)$ gauge…

高能物理 - 格点 · 物理学 2023-08-24 Motokazu Abe , Okuto Morikawa , Soma Onoda , Hiroshi Suzuki , Yuya Tanizaki

We present a measurement of the topological susceptibility in SU(3) Yang-Mills theory through the deconfinement phase transition. An improved operator is used for the topological charge density. A drop by an order of magnitude is observed…

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

We study the Yang-Mills gradient flow using numerical stochastic perturbation theory. As an application of the method we consider the recently proposed gradient flow coupling in the Schr\"odinger functional for the pure SU(3) gauge theory.

高能物理 - 格点 · 物理学 2013-12-20 Mattia Dalla Brida , Dirk Hesse

We present a novel method for defining the topological charge contained within distinct topological objects in the nontrivial ground-state fields of SU(N) lattice gauge theory. Such an analysis has been called for by the growing number of…

高能物理 - 格点 · 物理学 2025-04-04 Jackson A. Mickley , Waseem Kamleh , Derek B. Leinweber

We examine one-flavour $SU(N_c)$ gauge theories, where $N_c$ denotes the number of colors, with one fermion in the antisymmetric representation as a candidate to approximate $\mathcal{N}=1$ super Yang Mills due to their equivalence in the…

高能物理 - 格点 · 物理学 2023-12-20 Michele Della Morte , Benjamin Jäger , Sofie Martins , Justus Tobias Tsang , Felix P. G. Ziegler
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