CHIRAL-SYMMETRY BREAKING IN THE NAMBU-JONA-LASINIO MODEL IN CURVED SPACETIME WITH A NONTRIVIAL TOPOLOGY

被引：52

作者：

ELIZALDE, E ^{[1
]}

LESEDUARTE, S ^{[1
]}

ODINTSOV, SD ^{[1
]}

机构：

[1] CSIC,CTR ADV STUDIES,E-17300 BLANES,SPAIN

来源：

PHYSICAL REVIEW D | 1994年 / 49卷 / 10期

关键词：

D O I：

10.1103/PhysRevD.49.5551

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We discuss the phase structure (in the 1/N expansion) of the Nambu-Jona-Lasinio model in curved spacetime with nontrivial topology M3 X S1. The evaluation of the effective potential of the composite field psipsiBAR is presented in the linear curvature approximation (topology is treated exactly) and in the leading order of the 1/N expansion. The combined influence of topology and curvature to the phase transitions is investigated. It is shown, in particular, that at zero curvature and for small radius of the torus there is a second order phase transition from the chiral symmetric to the chiral nonsymmetric phase. When the curvature grows and (or) the radius of S1 decreases, then the phase transition is in general of first order. The dynamical fermionic mass is also calculated in a number of different situations.

引用

页码：5551 / 5558

页数：8

共 27 条

[1] HIGH-TEMPERATURE YANG-MILLS THEORIES AND 3-DIMENSIONAL QUANTUM CHROMODYNAMICS [J].