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

被引：41

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 36 条

[1] Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models
Abreu, L. M.
Malbouisson, A. P. C.
Malbouisson, J. M. C.
PHYSICAL REVIEW D, 2011, 83 (02):
[2] Finite-size effects on the phase transition in a four- and six-fermion interaction model
Abreu, L. M.
Khanna, F. C.
Malbouisson, A. P. C.
Malbouisson, J. M. C.
Santana, A. E.
PHYSICS LETTERS A, 2014, 378 (35) : 2597 - 2602
[3] Finite-size, chemical-potential and magnetic effects on the phase transition in a four-fermion interacting model
Correa, E. B. S.
Linhares, C. A.
Malbouisson, A. P. C.
Malbouisson, J. M. C.
Santana, A. E.
EUROPEAN PHYSICAL JOURNAL C, 2017, 77 (04):
[4] Superrestoration of chiral symmetry in massive four-fermion interaction models
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Kimura, Daiji
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PHYSICAL REVIEW D, 2024, 109 (11)
[5] Phase Structure of Quark Systems in Models with Four-Fermion Interaction
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PHYSICS OF ATOMIC NUCLEI, 2012, 75 (02) : 239 - 252
[6] Anomalous dimensions and the renormalizability of the four-fermion interaction
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PHYSICS LETTERS B, 2017, 773 : 604 - 609
[7] A model to study finite-size and magnetic effects on the phase transition of a fermion interacting system
Correa, Emerson B. S.
Linhares, Cesar A.
Malbouisson, Adolfo P. C.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2018, 32 (08):
[8] Boundary effects on constituent quark masses and on chiral susceptibility in a four-fermion interaction model
Abreu, Luciano M.
Nery, Elenilson S.
Correa, Emerson B. S.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2021, 572
[9] Precise phase structure in a four-fermion interaction model on a torus
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Shimoji, Hiromu
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2022, 2022 (01):
[10] Phase transition in a four-fermion interaction model under boundary conditions and electromagnetic effects
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PHYSICAL REVIEW D, 2023, 108 (07)

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