Finite-size effects on the chiral phase diagram of four-fermion models in four dimensions

被引：42

作者：

Abreu, L. M. ^{[1
]}

Malbouisson, A. P. C. ^{[2
]}

Malbouisson, J. M. C. ^{[3
]}

Santana, A. E. ^{[4
]}

机构：

[1] Univ Fed Reconcavo Bahia, Ctr Ciencias Exatas & Tecnol, BR-44380000 Cruz Das Almas, BA, Brazil

[2] Ctr Brasileiro Pesquisas Fis, MCT, BR-22290180 Rio De Janeiro, Brazil

[3] Univ Fed Bahia, Inst Fis, BR-40210340 Salvador, BA, Brazil

[4] Univ Brasilia, Inst Fis, BR-70910900 Brasilia, DF, Brazil

来源：

NUCLEAR PHYSICS B | 2009年 / 819卷 / 1-2期

关键词：

Four-fermion models; Dynamical symmetry breaking; Finite-size effects; SYMMETRY-BREAKING; DYNAMICAL MODEL; TEMPERATURE; SUPERCONDUCTIVITY; ANALOGY;

D O I：

10.1016/j.nuclphysb.2009.04.012

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We study the size dependence of the dynamical symmetry breaking in the four-dimensional Nambu-Jona-Lasinio model. We show that the presence of boundaries reduces the chiral breaking region, and this effect is strengthened for a larger number of compactified dimensions. A critical value for the length of the compactified dimensions exists, below which the dynamical symmetry breaking is not possible. Considering finite temperature and chemical potential, the chiral phase structure for the system with compactified dimensions is obtained. A gradual decreasing of the chiral breaking region with increasing of chemical potential is found. Also, at fixed chemical potential, the decreasing of the size of the system changes the order of the chiral phase transition. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：127 / 138

页数：12

共 22 条

[1] Finite-size effects on the phase structure of the Nambu-Jona-Lasinio model [J].

Abreu, L. M. ;

Gomes, M. ;

da Silva, A. J. .

PHYSICS LETTERS B, 2006, 642 (5-6) :551-562

[2] Critical behavior of the compactified λφ4 theory -: art. no. 012304 [J].

Abreu, LM ;

de Calan, C ;

Malbouisson, APC ;

Malbouisson, JMC ;

Santana, AE .

JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (01)

[3]

[Anonymous], 1995, LECT NOTES PHYS

[4] Finite-temperature properties of the Dirac operator under local boundary conditions [J].

Beneventano, CG ;

Santangelo, EM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (39) :9261-9273

[5] Volume and quark mass dependence of the chiral phase transition [J].

Braun, J ;

Klein, B ;

Pirner, HJ ;

Rezaeian, AH .

PHYSICAL REVIEW D, 2006, 73 (07)

[6] Volume dependence of the pion mass in the quark-meson model [J].

Braun, J ;

Klein, B ;

Pirner, HJ .

PHYSICAL REVIEW D, 2005, 71 (01) :014032-1

[7] NJL-model analysis of dense quark matter [J].

Buballa, M .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2005, 407 (4-6) :205-376

[8] Finite size effects in the Gross-Neveu model with isospin chemical potential [J].

Ebert, D. ;

Klimenko, K. G. ;

Tyukov, A. V. ;

Zhukovsky, V. Ch. .

PHYSICAL REVIEW D, 2008, 78 (04)

[9] Dynamical symmetry breaking on a cylinder in magnetic field [J].

Gamayun, OV ;

Gorbar, EV .

PHYSICS LETTERS B, 2005, 610 (1-2) :74-79

[10] QCD PHENOMENOLOGY BASED ON A CHIRAL EFFECTIVE LAGRANGIAN [J].

HATSUDA, T ;

KUNIHIRO, T .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1994, 247 (5-6) :221-367

← 1 2 3 →