Updating the phase diagram of the Gross-Neveu model in 2+1 dimensions

被引：38

作者：

Kneur, Jean-Loic ^{[2
]}

Pinto, Marcus Benghi ^{[3
]}

Ramos, Rudnei O. ^{[1
]}

Staudt, Ederson ^{[3
]}

机构：

[1] Univ Estado Rio De Janeiro, Dept Fis Teor, BR-20550 Rio De Janeiro, RJ, Brazil

[2] Univ Montpellier 2, CNRS, UMR 5207, Lab Phys Theor & Astroparticules, F-34095 Montpellier 5, France

[3] Univ Fed Santa Catarina, Dept Fis, BR-88040900 Florianopolis, SC, Brazil

来源：

PHYSICS LETTERS B | 2007年 / 657卷 / 1-3期

关键词：

chiral phase transition; Gross-Neveu model; four-Fermi models; nonperturbative thermodynamics;

D O I：

10.1016/j.physletb.2007.10.013

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The method of optimized perturbation theory (OPT) is used to study the phase diagram of the massless Gross-Neveu model in 2 + 1 dimensions. In the temperature and chemical potential plane, our results give strong support to the existence of a tricritical point and line of first-order phase transition, previously only suspected to exist from extensive lattice Monte Carlo simulations. In addition of presenting these results we discuss how the OPT can be implemented in conjunction with the Landau expansion in order to determine all the relevant critical quantities. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：136 / 142

页数：7

共 30 条

[1]

AITCHISON LJR, 1996, PHYS REV B, V53, P9321

[2]

CHRISTOFI S, HEPLAT0612031

[3] THERE ARE NO GOLDSTONE BOSONS IN 2 DIMENSIONS [J].

COLEMAN, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1973, 31 (04) :259-264

[4] NONPERTURBATIVE PHYSICS FROM INTERPOLATING ACTIONS [J].

DUNCAN, A ;

MOSHE, M .

PHYSICS LETTERS B, 1988, 215 (02) :352-358

[5] THE DELTA-EXPANSION IN THE LARGE-N LIMIT [J].

GANDHI, SK ;

JONES, HF ;

PINTO, MB .

NUCLEAR PHYSICS B, 1991, 359 (2-3) :429-440

[6] THERMODYNAMICS OF 4-FERMION MODELS IN THE DELTA-EXPANSION [J].

GANDHI, SK ;

PINTO, MB .

PHYSICAL REVIEW D, 1994, 49 (08) :4258-4264

[7] THE BETA-FUNCTION OF THE CHIRAL GROSS-NEVEU MODEL AT O(1/N2) [J].

GRACEY, JA .

PHYSICAL REVIEW D, 1994, 50 (04) :2840-2847

[8] DYNAMICAL SYMMETRY BREAKING IN ASYMPTOTICALLY FREE FIELD-THEORIES [J].

GROSS, DJ ;

NEVEU, A .

PHYSICAL REVIEW D, 1974, 10 (10) :3235-3253

[9] Fermi surface phenomena in the (2+1)D four-Fermi model [J].

Hands, S ;

Kogut, JB ;

Strouthos, CG ;

Tran, TN .

PHYSICAL REVIEW D, 2003, 68 (01)

[10] THE 4-FERMI MODEL IN 3 DIMENSIONS AT NONZERO DENSITY AND TEMPERATURE [J].

HANDS, SJ ;

KOCIC, A ;

KOGUT, JB .

NUCLEAR PHYSICS B, 1993, 390 (02) :355-378

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