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
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
收藏
页码:127 / 138
页数:12
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