Effects of quantum instantons on the thermodynamics of the CPN-1 model

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

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    Abstract

    Using the 1/N expansion, we study the influence of quantum instantons on the thermodynamics of the CPN-1 model in 1+1 dimensions. We do this by calculating the pressure to next-to-leading order in 1/N, without quantum instanton contributions. The fact that the CP1 model is equivalent to the O(3) nonlinear sigma model allows for a comparison to the full pressure up to 1/N2 corrections for N=3. Assuming validity of the 1/N expansion for the CP1 model makes it possible to argue that the pressure for intermediate temperatures is dominated by the effects of quantum instantons. A similar conclusion can be drawn for general N values by using the fact that the entropy should always be positive. © 2006 The American Physical Society.
    Original languageEnglish
    JournalPhysical Review D
    Volume74
    Issue number4
    DOIs
    Publication statusPublished - 2006

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