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

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arxiv 1807.06558 v2 pith:KEMAC3L6 submitted 2018-07-17 hep-lat hep-phhep-th

Claudio Bonati , Marco Cardinali , Massimo D'Elia This is my paper · ORCID
classification hep-lathep-phhep-th
keywords theorylatticetopologicalyang-millsdeformedmathbbtraceagreement
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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 $\mathbb{R}^4$.

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Cited by 4 Pith papers

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  1. Confining Flux Tube in the Trace Deformed (2+1) Dimensional SU(2) Gauge Theory

    hep-lat 2026-06 unverdicted novelty 7.0 of 10

    In the reconfined phase of trace-deformed (2+1)D SU(2) gauge theory, Polyakov-loop data are accurately fit by the Polchinski-Yang rigid string while Nambu-Goto fails, with modified flux-tube width and a shift to first...

  2. Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory

    hep-lat 2025-10 unverdicted novelty 6.0 of 10

    Out-of-equilibrium simulations with open-to-periodic boundary switching plus a tailored stochastic normalizing flow enable efficient topology sampling in the continuum limit of four-dimensional SU(3) Yang-Mills theory.

  3. Effective string description of the reconfined phase in the trace deformed $\mathrm{SU}(2)$ Yang-Mills theory in (2+1) dimensions

    hep-lat 2025-01 conditional novelty 6.0 of 10

    In the reconfined phase of trace deformed SU(2) gauge theory, the flux tube energy follows the Polchinski-Yang rigid string rather than the Nambu-Goto string.

  4. Metamorphosis of fractional instantons on a twisted $T^4$ with a double-trace deformation: a numerical study

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Numerical lattice study shows fractional instantons on twisted T^4 morph into monopole-instantons and center vortices as geometry interpolates between R^{4-k} x T^k, with some transitions discontinuous under deformation.

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