The $θ$-dependence of the Yang-Mills spectrum from analytic continuation

Claudio Bonanno, Claudio Bonati, Mario Papace, Davide Vadacchino

Research output: Working paperPreprint

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Abstract

We study the $\theta$-dependence of the string tension and of the lightest glueball mass in four-dimensional $\mathrm{SU}(N)$ Yang-Mills theories. More precisely, we focus on the coefficients parametrizing the $\mathcal{O}(\theta^2)$ dependence of these quantities, which we investigate by means of numerical simulations of the lattice-discretized theory, carried out using imaginary values of the $\theta$ parameter. Topological freezing at large $N$ is avoided using the Parallel Tempering on Boundary Conditions algorithm. We provide controlled continuum extrapolations of such coefficients in the $N=3$ case, and we report the results obtained on two fairly fine lattice spacings for $N=6$.
Original languageUndefined/Unknown
Publication statusPublished - 5 Feb 2024

Keywords

  • hep-lat
  • hep-th

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