scholarly journals Chiral symmetry breaking in the gauged NJL model in curved spacetime

1996 ◽  
Vol 53 (12) ◽  
pp. 7321-7326 ◽  
Author(s):  
B. Geyer ◽  
S. D. Odintsov
1993 ◽  
Vol 08 (07) ◽  
pp. 1295-1312 ◽  
Author(s):  
D. EBERT ◽  
YU. L. KALINOVSKY ◽  
L. MÜNCHOW ◽  
M.K. VOLKOV

An extended NJL model with [Formula: see text] and (qq)-interactions is studied at finite temperature and baryon number density. We investigate the chiral symmetry breaking, its restoration and the behavior of meson and diquark masses, decay and coupling constants as functions of T and µ.


1997 ◽  
Vol 12 (30) ◽  
pp. 2271-2277 ◽  
Author(s):  
I. L. Buchbinder ◽  
T. Inagaki ◽  
S. D. Odintsov

We investigate the effect of an external gravitational fields to the chiral symmetry breaking in the supersymmetric (SUSY) Nambu–Jona-Lasinio (NJL) model coupled to gravity in a non-supersymmetric way. Evaluating the effective potential in the leading order of the 1/Nc-expansion and in the linear curvature approximation, it is possible to have the chiral symmetry breaking in the SUSY NJL model in an external gravitational fields. In the broken phase the dynamically generated mass is analytically and numerically calculated.


1996 ◽  
Vol 11 (25) ◽  
pp. 2053-2063 ◽  
Author(s):  
B. GEYER ◽  
L.N. GRANDA ◽  
S.D. ODINTSOV

We discuss the phase structure of the NJL model in curved spacetime with magnetic field using 1/N-expansion and linear curvature approximation. The effective potential for composite fields [Formula: see text] is calculated using the proper-time cutoff in the following cases: (a) at nonzero curvature, (b) at nonzero curvature and nonzero magnetic field, and (c) at nonzero curvature and nonzero covariantly constant gauge field. Chiral symmetry breaking is studied numerically. We show that the gravitational field may compensate the effect of the magnetic field what leads to restoration of chiral symmetry.


1994 ◽  
Vol 21 (1) ◽  
pp. 73-84 ◽  
Author(s):  
Guang-Jiong Ni ◽  
Ji-Fang Yang ◽  
Dao-Hia Xu ◽  
Su-Qing Chen

2007 ◽  
Vol 117 (1) ◽  
pp. 139-160 ◽  
Author(s):  
Takahiro Fujihara ◽  
Tomohiro Inagaki ◽  
Daiji Kimura

1998 ◽  
Vol 13 (02) ◽  
pp. 145-151 ◽  
Author(s):  
L. N. GRANDA

The effective potential in the model introduced by Buchbinder–Inagaki–Odintsov (BIO)1 which represents SUSY NJL model non-minimally coupled with the external gravitational field is found. The topology of the space is considered to be nontrivial. Chiral symmetry breaking under the action of external curvature and nontrivial topology is investigated.


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