The Structure of the Aoki Phase at Weak Coupling

Ralph Kenna; C. Pinto; J. C. Sexton

doi:10.1016/S0370-2693(01)00328-8

The Structure of the Aoki Phase at Weak Coupling

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

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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.

Original language	English
Pages (from-to)	125-130
Journal	Physics Letters B
Volume	505
Issue number	1-4
DOIs	https://doi.org/10.1016/S0370-2693(01)00328-8
Publication status	Published - 26 Apr 2001

Bibliographical note

The full text is also available from: http://de.arxiv.org/abs/hep-lat/0101005
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 http://creativecommons.org/licenses/by-nc-nd/4.0/

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10.1016/S0370-2693(01)00328-8

0101005v2

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title = "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. ",

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AU - Pinto, C.

AU - Sexton, J. C.

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Y1 - 2001/4/26

N2 - 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.

AB - 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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DO - 10.1016/S0370-2693(01)00328-8

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SN - 1873-2445

VL - 505

SP - 125

EP - 130

JO - Physics Letters B

JF - Physics Letters B

IS - 1-4

ER -

The Structure of the Aoki Phase at Weak Coupling

Abstract

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