Topology of trace deformed Yang-Mills theory

Claudio Bonati; Marco Cardinali; Massimo D'Elia; Fabrizio Mazziotti

Topology of trace deformed Yang-Mills theory

High Energy Physics - Lattice 2019-12-30 v1 High Energy Physics - Theory

Authors: Claudio Bonati , Marco Cardinali , Massimo D'Elia , Fabrizio Mazziotti

Abstract

In this paper we study, by means of numerical simulations, the topological properties of $SU(3)$ and $SU(4)$ trace deformed Yang-Mills theory defined on $\mathbb{R}^3\times S^1$ , in which center symmetry is recovered even at small compactification radii. In particular, we compute the topological suscpetibility $\chi$ and the coefficient $b_2$ (related to the fourth cumulant of the topological charge distribution). We find that these observables computed in the deformed theory when center symmetry is recovered are compatible with their values at zero temperature both for 3 and 4 colours

Keywords

trace deformed yang-mills theory topological susceptibility center symmetry numerical simulation su(3) su(4) topological charge

Cite

@article{arxiv.1912.12028,
  title  = {Topology of trace deformed Yang-Mills theory},
  author = {Claudio Bonati and Marco Cardinali and Massimo D'Elia and Fabrizio Mazziotti},
  journal= {arXiv preprint arXiv:1912.12028},
  year   = {2019}
}

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Proceeding of Science of the 37th International Symposium on Lattice Field Theory (parallel talk) - Lattice2019, 16-22 June 2019, Wuhan, China

Topology of trace deformed Yang-Mills theory

Abstract

Keywords

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