The Structure of the Aoki Phase at Weak Coupling

Abstract

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.

arXiv comment9 pages, 1 figure (minor changes) To be published in Phys. Lett. B

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Cited by in corpus (6)

• Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion
• Phase Transition Strength through Densities of General Distributions of Zeroes
• QCD with two flavors of Wilson fermions: The QCD vacuum, the Aoki vacuum and other vacua
• Elucidating the Vacuum Structure of the Aoki Phase
• Phase structure of a generalized Nambu Jona-Lasinio model with Wilson fermions in the mean field or large $N$-expansion
• New methods to measure phase transition strength