$\theta$ dependence in trace deformed $SU(3)$ Yang-Mills theory: a lattice study

Abstract

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 susceptibility and the $b_2$ coefficient (related to the fourth cumulant of the topological charge distribution) of this theory for different values of the lattice spacing and of the compactification radius. In all the cases we find results in good agreement with the corresponding ones of the standard $SU(3)$ Yang-Mills theory on ${\mathbb{R}}^4$.

6 pages, 4 figures, published version

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Cited by in corpus (19)

• Modified instanton sum in QCD and higher-groups
• Large-$N$ $SU(N)$ Yang-Mills theories with milder topological freezing
• Notes on Confinement on ${\mathbf{R}}^3\times {\mathbf{S}}^1$: From Yang-Mills, super-Yang-Mills, and QCD(adj) to QCD(F)
• Large-$N$ expansion and $\theta$-dependence of $2d$ $C{P}^{N-1}$ models beyond the leading order
• Topological properties of $C{P}^{N-1}$ models in the large-$N$ limit
• $\theta$-dependence and center symmetry in Yang-Mills theories
• Reconfinement, localization and thermal monopoles in $SU(3)$ trace-deformed Yang-Mills theory
• Universality between vector-like and chiral quiver gauge theories: Anomalies and domain walls
• Lattice determination of the topological susceptibility slope ${\chi }^{\prime }$ of $2d{\mathrm{CP}}^{N-1}$ models at large $N$
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Deconfinement Phase Transition in the $SU(3)$ Instanton-dyon Ensemble
• Strongly coupled QFT dynamics via TQFT coupling
• Spectrum of Trace Deformed Yang-Mills Theories
• Graded Hilbert spaces, quantum distillation and connecting SQCD to QCD
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Topology of trace deformed Yang-Mills theory
• The mixed $0$-form/$1$-form anomaly in Hilbert space: pouring new wine into old bottles
• On the perturbative aspects of deformed Yang-Mills theory
• Polyakov Model in 't Hooft flux background: A quantum mechanical reduction with memory