Weakly coupled Gross-Neveu model with Wilson fermions

Ralph Kenna, J. C. Sexton

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    Abstract

    The nature of the phase transition in the lattice Gross-Neveu model with Wilson fermions is investigated using a new analytical technique. This involves a new type of weak coupling expansion which focuses on the partition function zeros of the model. Its application to the single flavor Gross-Neveu model yields a phase diagram whose structure is consistent with that predicted from a saddle point approach. The existence of an Aoki phase is confirmed and its width in the weakly coupled region is determined. A parity transformation has the effect of interchanging critical line segments while leaving the full critical curve intact.
    Original languageEnglish
    Article number014507
    JournalPhysical Review D
    Volume65
    DOIs
    Publication statusPublished - 3 Dec 2001

    Bibliographical note

    The full text is also available from: http://de.arxiv.org/abs/hep-lat/0103014

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