Topology of trace deformed Yang-Mills theory

TL;DR

This study uses numerical simulations to analyze the topological properties of trace deformed SU(3) and SU(4) Yang-Mills theories on .3 , showing that key topological observables match zero-temperature values when center symmetry is preserved at small radii.

Contribution

It provides the first numerical analysis of topological susceptibility and related quantities in trace deformed Yang-Mills theories with SU(3) and SU(4) gauge groups.

Findings

Topological susceptibility matches zero-temperature values when center symmetry is preserved.

Coefficient b2 related to topological charge distribution is consistent with zero-temperature results.

Center symmetry restoration occurs at small compactification radii in the deformed theories.

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