Variational analysis of the deconfinement phase transition | Zendy

Ian I. Kogan | Zendy; Alex Kovner | Zendy; José Guilherme Milhano | Zendy

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Variational analysis of the deconfinement phase transition

Author(s) -

Ian I. Kogan,

Alex Kovner,

José Guilherme Milhano

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/12/017

Subject(s) - deconfinement , ansatz , phase transition , physics , mathematical physics , invariant (physics) , gauge theory , yang–mills existence and mass gap , entropy (arrow of time) , condensed matter physics , quantum mechanics , thermodynamics

We study the deconfining phase transition in 3+1 dimensional pure SU(N)Yang-Mills theory using a gauge invariant variational calculation. Wegeneralize the variational ansatz of Phys. Rev. D52, 3719 (1995) to mixedstates (density matrices) and minimize the free energy. For N > 3 we find afirst order phase transition with the transition temperature of T_C = 450 Mev.Below the critical temperature the Polyakov loop has vanishing expectationvalue, while above T_C, its average value is nonzero. According to the standardlore this corresponds to the deconfining transition. Within the accuracy of ourapproximation the entropy of the system in the low temperature phase vanishes.The latent heat is not small but, rather, is of the order of thenonperturbative vacuum energy.Comment: 15 pages, correction of minor typos only, submitted to JHE

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