The $θ$-dependence of the $\mathrm{SU}(N)$ critical temperature at large $N$
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909098608427008 |
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| author | Bonanno, Claudio D'Elia, Massimo Verzichelli, Lorenzo |
| author_facet | Bonanno, Claudio D'Elia, Massimo Verzichelli, Lorenzo |
| contents | We investigate, by means of numerical lattice simulations, the $θ$-dependence of the critical deconfinement temperature of $\mathrm{SU}(N)$ gauge theories at large $N$: $T_c(θ) = T_c(0)[1-Rθ^2+O(θ^4)]$, with $R\sim O(1/N^2)$. We follow two different strategies to determine $R$, one based on the calculation of the latent heat of the transition and on the jump of the topological susceptibility at the $θ=0$ critical point, the other relying on a direct probe of $T_c(θ)$ by means of imaginary-$θ$ Monte Carlo simulations. Our results show that $R$ follows the expected large-$N$ scaling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_12202 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The $θ$-dependence of the $\mathrm{SU}(N)$ critical temperature at large $N$ Bonanno, Claudio D'Elia, Massimo Verzichelli, Lorenzo High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We investigate, by means of numerical lattice simulations, the $θ$-dependence of the critical deconfinement temperature of $\mathrm{SU}(N)$ gauge theories at large $N$: $T_c(θ) = T_c(0)[1-Rθ^2+O(θ^4)]$, with $R\sim O(1/N^2)$. We follow two different strategies to determine $R$, one based on the calculation of the latent heat of the transition and on the jump of the topological susceptibility at the $θ=0$ critical point, the other relying on a direct probe of $T_c(θ)$ by means of imaginary-$θ$ Monte Carlo simulations. Our results show that $R$ follows the expected large-$N$ scaling. |
| title | The $θ$-dependence of the $\mathrm{SU}(N)$ critical temperature at large $N$ |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.12202 |