The Structure of the Aoki Phase at Weak Coupling

Details The Structure of the Aoki Phase at Weak Coupling The Structure of the Aoki Phase at Weak Coupling

2001-01-10

arxiv.org/abs/hep-lat/0101005v2

Phys.Lett. B505 (2001) 125-130

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/S0370-2693(01)00328-8

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.

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