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The $\theta$-dependence of the $\mathrm{SU}(N)$ critical temperature at large $N$
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abstract
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.
Forward citations
Cited by 3 Pith papers
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Domain Walls From Confining Bubbles: $SU(N_{c})$ Yang Mills at Finite $\theta$
A nonzero theta angle weakens supercooling in SU(Nc) Yang-Mills confinement and makes any resulting domain-wall gravitational-wave signal invisible except under severe fine-tuning.
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Confinement in Holographic Theories at Finite Theta
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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Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$
Lattice simulations at imaginary theta give evidence for a CP-broken deconfined phase at theta=pi in 4D SU(2) Yang-Mills, with T_CP close to T_dec(0) and T_dec(pi) below T_dec(0).
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