The $θ$-dependence of the Yang-Mills spectrum from analytic continuation
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913345600225280 |
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| author | Bonanno, Claudio Bonati, Claudio Papace, Mario Vadacchino, Davide |
| author_facet | Bonanno, Claudio Bonati, Claudio Papace, Mario Vadacchino, Davide |
| contents | We study the $θ$-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 $\mathcal{O}(θ^2)$ dependence of these quantities, which we investigate by means of numerical simulations of the lattice-discretized theory, carried out using imaginary values of the $θ$ 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 $N=6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03096 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The $θ$-dependence of the Yang-Mills spectrum from analytic continuation Bonanno, Claudio Bonati, Claudio Papace, Mario Vadacchino, Davide High Energy Physics - Lattice High Energy Physics - Theory We study the $θ$-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 $\mathcal{O}(θ^2)$ dependence of these quantities, which we investigate by means of numerical simulations of the lattice-discretized theory, carried out using imaginary values of the $θ$ 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 $N=6$. |
| title | The $θ$-dependence of the Yang-Mills spectrum from analytic continuation |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.03096 |