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Computation of the latent heat of the deconfinement phase transition of SU(3) Yang-Mills theory

2025/02/06 by Leonardo Giusti, Giusti, Leonardo, Mitsuaki Hirasawa +5
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-pressure geophysics and materials #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2502.03875

openalex publication_date 2025/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the thermal properties of SU(3) Yang-Mills theory across the deconfinement phase transition considering the framework of shifted boundary conditions in the temporal direction. By measuring the entropy density s(Tc)/Tc3 on both sides of the phase transition at the critical temperature Tc, we can retrieve the latent heat h. Additionally, we compute h from the discontinuity in the trace anomaly of the energy-momentum tensor. Simulations are performed at five different values of the lattice spacing, allowing us to extrapolate the results to the continuum limit. The two observables produce compatible results, giving the combined estimate h = 1.175(10) in the continuum limit, achieving a precision of about 1 %. Moreover, we determine the critical temperature in physical units with permille accuracy, yielding Tc √(t0) = 0.24915(29). These results allow us to connect the confined and the deconfined phases with precision, and we present an improved computation of the Equation of State across the phase transition for temperatures between 0 and 3.4 Tc.

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