Thermodynamics of O(N) sigma models: 1/N corrections

J.O. Andersen, D. Boer, H.J. Warringa

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    Abstract

    The thermodynamics of the O(N) linear and nonlinear sigma models in 3 + 1 dimensions is studied. We calculate the pressure to next-to-leading order in the 1/N expansion and show that at this order, temperature-independent renormalization is only possible at the minimum of the effective potential. The 1/N expansion is found to be a good expansion for N as low as 4, which is the case relevant for low-energy QCD phenomenology. We consider the cases with and without explicit symmetry breaking. We show that previous next-to-leading-order calculations of the pressure are either breaking down at the temperatures of interest, or based on unjustifiable high-energy approximations.
    Original languageEnglish
    JournalPhysical Review D
    Volume70
    Issue number11
    DOIs
    Publication statusPublished - 2004

    Bibliographical note

    Times Cited: 4

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