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The θ-dependence of the SU(N) critical temperature at large N

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arxiv 2312.12202 v2 pith:CXFPVAFE submitted 2023-12-19 hep-lat hep-phhep-th

The θ-dependence of the SU(N) critical temperature at large N

classification hep-lat hep-phhep-th
keywords thetacriticaldependencelargemathrmmeanssimulationstemperature
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate, by means of numerical lattice simulations, the $\theta$-dependence of the critical deconfinement temperature of $\mathrm{SU}(N)$ gauge theories at large $N$: $T_c(\theta) = T_c(0)[1-R\theta^2+O(\theta^4)]$, 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 $\theta=0$ critical point, the other relying on a direct probe of $T_c(\theta)$ by means of imaginary-$\theta$ Monte Carlo simulations. Our results show that $R$ follows the expected large-$N$ scaling.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    Holographic 5D model shows confinement critical temperature falls quadratically with vacuum angle, matches lattice QCD, and allows time-dependent theta to trigger supercooling and altered gravitational-wave spectra.

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