Weakly coupled Gross-Neveu model with Wilson fermions

Ralph Kenna, J. C. Sexton

Research output: Contribution to journalArticle

8 Citations (Scopus)
2 Downloads (Pure)

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

Fingerprint

fermions
saddle points
partitions
parity
phase diagrams
expansion
curves

Bibliographical note

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

Cite this

Weakly coupled Gross-Neveu model with Wilson fermions. / Kenna, Ralph; Sexton, J. C.

In: Physical Review D, Vol. 65, 014507, 03.12.2001.

Research output: Contribution to journalArticle

@article{af5fc10f7f84441cb9ff033ce52d50e9,
title = "Weakly coupled Gross-Neveu model with Wilson fermions",
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.",
author = "Ralph Kenna and Sexton, {J. C.}",
note = "The full text is also available from: http://de.arxiv.org/abs/hep-lat/0103014",
year = "2001",
month = "12",
day = "3",
doi = "10.1103/PhysRevD.65.014507",
language = "English",
volume = "65",
journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",
issn = "1550-7998",
publisher = "American Physical Society",

}

TY - JOUR

T1 - Weakly coupled Gross-Neveu model with Wilson fermions

AU - Kenna, Ralph

AU - Sexton, J. C.

N1 - The full text is also available from: http://de.arxiv.org/abs/hep-lat/0103014

PY - 2001/12/3

Y1 - 2001/12/3

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevD.65.014507

DO - 10.1103/PhysRevD.65.014507

M3 - Article

VL - 65

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

M1 - 014507

ER -