ORCID
- Davide Vadacchino: 0000-0002-5783-5602
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 $N=6$.
DOI
10.48550/arxiv.2402.03096
Publication Date
2024-02-05
Keywords
hep-lat, hep-th
Recommended Citation
Bonanno, C., Bonati, C., Papace, M., & Vadacchino, D. (2024) 'The $θ$-dependence of the Yang-Mills spectrum from analytic continuation', Available at: https://doi.org/10.48550/arxiv.2402.03096