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$\theta$ dependence in trace deformed $SU(3)$ Yang-Mills theory: a lattice study
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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 $\mathbb{R}^4$.
Forward citations
Cited by 6 Pith papers
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Confining Flux Tube in the Trace Deformed (2+1) Dimensional SU(2) Gauge Theory
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...
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Topological properties around the Roberge-Weiss transition in $N_f = 2 + 1 + 1$ QCD
Along the Roberge-Weiss line in 2+1+1 flavor QCD, the topological charge cumulant b2 becomes compatible with the dilute instanton gas value as soon as T exceeds T_RW, like in pure gauge theory.
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Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
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.
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Effective string description of the reconfined phase in the trace deformed $\mathrm{SU}(2)$ Yang-Mills theory in (2+1) dimensions
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.
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Metamorphosis of fractional instantons on a twisted $T^4$ with a double-trace deformation: a numerical study
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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The imaginary-$\theta$ dependence of the SU($N$) spectrum
The theta-squared curvature of the SU(3) glueball mass and string tension is measured in the continuum, and the N=3 and N=6 data support the expected large-N 1/N^2 scaling.
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