The Structure of the Aoki Phase at Weak Coupling

Ralph Kenna, C. Pinto, J. C. Sexton

    Research output: Contribution to journalArticle

    7 Citations (Scopus)
    38 Downloads (Pure)


    A new method to determine the phase diagram of certain lattice fermionic field theories in the weakly coupled regime is presented. This method involves a new type of weak coupling expansion which is multiplicative rather than additive in nature and allows perturbative calculation of partition function zeroes. Application of the method to the single flavour Gross-Neveu model gives a phase diagram consistent with the parity symmetry breaking scenario of Aoki and provides new quantitative information on the width of the Aoki phase in the weakly coupled sector.
    Original languageEnglish
    Pages (from-to)125-130
    JournalPhysics Letters B
    Issue number1-4
    Publication statusPublished - 26 Apr 2001

    Bibliographical note

    The full text is also available from:
    NOTICE: this is the author’s version of a work that was accepted for publication in Physics Letters B. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physics Letters B, [505, 1-4, 2001] DOI: 10.1016/S0370-2693(01)00328-8 .

    © 2001, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International


    Dive into the research topics of 'The Structure of the Aoki Phase at Weak Coupling'. Together they form a unique fingerprint.

    Cite this