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Related papers: Topology of trace deformed Yang-Mills theory

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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…

High Energy Physics - Lattice · Physics 2018-10-09 Claudio Bonati , Marco Cardinali , Massimo D'Elia

We investigate the relation between the realization of center symmetry and the dependence on the topological parameter $\theta$ in $SU(N)$ Yang-Mills theories, exploiting trace deformations as a tool to regulate center symmetry breaking in…

High Energy Physics - Lattice · Physics 2020-02-19 Claudio Bonati , Marco Cardinali , Massimo D'Elia , Fabrizio Mazziotti

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…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo , R. Kirchner

We determine the topological susceptibility $\chi$ at T=0 in pure SU(3) gauge theory and its behaviour at finite $T$ across the deconfining transition. We use an improved topological charge density operator. $\chi$ drops sharply by one…

High Energy Physics - Lattice · Physics 2008-11-26 B. Allés , M. D'Elia , A. Di Giacomo

We determine the topological susceptibility \chi at T=0 and its behaviour at finite T across the deconfining transition in pure SU(2) gauge theory. We use an improved topological charge density operator. \chi goes to zero above T_c, but…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo

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…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo

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…

High Energy Physics - Lattice · Physics 2015-10-12 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…

High Energy Physics - Lattice · Physics 2021-02-01 Takuya Matsumoto , Masakiyo Kitazawa , Yasuhiro Kohno

We apply the previously-developed sub-volume method to study the $\theta$-dependence of the four-dimensional SU(2) Yang-Mills theory at finite temperature. We calculate the first two coefficients, the topological susceptibility $\chi$ and…

High Energy Physics - Lattice · Physics 2024-06-26 Norikazu Yamada , Masahito Yamazaki , Ryuichiro Kitano

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…

High Energy Physics - Lattice · Physics 2010-02-03 Leonardo Giusti , Bruno Taglienti , Silvano Petrarca

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…

High Energy Physics - Lattice · Physics 2018-09-26 P. Thomas Jahn , Guy D. Moore , Daniel Robaina

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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Lattice · Physics 2018-11-26 Marco Cè

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…

High Energy Physics - Lattice · Physics 2011-02-01 Michael Engelhardt

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…

High Energy Physics - Lattice · Physics 2009-11-10 Luigi Del Debbio , Leonardo Giusti , Claudio Pica

Spatial compactification on $\mathbb R^{3} \times \mathbb S^1_L$ at small $\mathbb S^1$-size $L$ often leads to a calculable vacuum structure, where various "topological molecules" are responsible for confinement and the realization of the…

High Energy Physics - Theory · Physics 2015-09-25 Mohamed M. Anber , Erich Poppitz

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…

High Energy Physics - Lattice · Physics 2016-01-28 Claudio Bonati , Massimo D'Elia , Aurora Scapellato

We study, by means of numerical lattice simulations, the properties of the reconfinement phase transition taking place in trace deformed $SU(3)$ Yang-Mills theory defined on $\mathbb{R}^3\times S^1$, in which center symmetry is recovered…

High Energy Physics - Lattice · Physics 2021-02-24 Claudio Bonati , Marco Cardinali , Massimo D'Elia , Matteo Giordano , Fabrizio Mazziotti

We study the phase diagram of SU(2) Yang-Mills theory with one adjoint Weyl fermion on R^3xS^1 as a function of the fermion mass m and the compactification scale L. This theory reduces to thermal pure gauge theory as m->infinity and to…

High Energy Physics - Theory · Physics 2015-06-05 Erich Poppitz , Thomas Schaefer , Mithat Unsal

It has been speculated that the CP symmetry of 4D SU(3) Yang-Mills theory at $\theta=\pi$ is spontaneously broken in the confined phase, and it is recovered precisely at the deconfining temperature. The direct simulation of the theory at…

High Energy Physics - Lattice · Physics 2026-03-11 Akira Matsumoto , Mitsuaki Hirasawa , Jun Nishimura , Atis Yosprakob
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