Variational analysis of the deconfinement phase transition

Details Variational analysis of the deconfinement phase transition Variational analysis of the deconfinement phase transition

2002-08-06

arxiv.org/abs/hep-ph/0208053v2

JHEP 0212 (2002) 017

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, correction of minor typos only, submitted to JHEP

Scientific paper

10.1088/1126-6708/2002/12/017

We study the deconfining phase transition in 3+1 dimensional pure SU(N) Yang-Mills theory using a gauge invariant variational calculation. We generalize the variational ansatz of Phys. Rev. D52, 3719 (1995) to mixed states (density matrices) and minimize the free energy. For N > 3 we find a first order phase transition with the transition temperature of T_C = 450 Mev. Below the critical temperature the Polyakov loop has vanishing expectation value, while above T_C, its average value is nonzero. According to the standard lore this corresponds to the deconfining transition. Within the accuracy of our approximation the entropy of the system in the low temperature phase vanishes. The latent heat is not small but, rather, is of the order of the nonperturbative vacuum energy.

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