scholarly journals TOPOLOLOGICAL CHIRAL SYMMETRY BREAKING IN SUSY NJL IN CURVED SPACE–TIME

1998 ◽  
Vol 13 (02) ◽  
pp. 145-151 ◽  
Author(s):  
L. N. GRANDA
Keyword(s):  
Gravitational Field ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Chiral Symmetry Breaking ◽  
Curved Space ◽  
External Gravitational Field ◽  
Njl Model ◽  
Nontrivial Topology ◽  
External Curvature

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.

scholarly journals Supersymmetric Nambu–Jona-Lasinio Model in an External Gravitational Field

1997 ◽  
Vol 12 (30) ◽  
pp. 2271-2277 ◽  
Author(s):  
I. L. Buchbinder ◽  
T. Inagaki ◽  
S. D. Odintsov
Keyword(s):  
Gravitational Field ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Chiral Symmetry Breaking ◽  
Leading Order ◽  
Gravitational Fields ◽  
External Gravitational Field ◽  
Njl Model ◽  
Curvature Approximation

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.

scholarly journals APPROACH TO D-DIMENSIONAL GROSS–NEVEU MODEL AT FINITE TEMPERATURE AND CURVATURE

1996 ◽  
Vol 11 (10) ◽  
pp. 785-793 ◽  
Author(s):  
SHINYA KANEMURA ◽  
HARU-TADA SATO
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Finite Temperature ◽  
Phase Structure ◽  
Critical Line ◽  
Chiral Symmetry Breaking ◽  
Leading Order ◽  
Third Order ◽  
Gross Neveu Model

We discuss phase structure of chiral symmetry breaking of the D-dimensional (2≤D≤3) Gross–Neveu model at finite temperature, density and constant curvature. We evaluate the effective potential in a weak background approximation to thermalize the model as well as in the leading order of the 1/N-expansion. A third-order critical line is observed similarly to the D=2 case.

scholarly journals DYNAMICAL SYMMETRY BREAKING IN THE EXTERNAL GRAVITATIONAL AND CONSTANT MAGNETIC FIELDS

1999 ◽  
Vol 14 (04) ◽  
pp. 481-503 ◽  
Author(s):  
T. INAGAKI ◽  
S. D. ODINTSOV ◽  
YU. I. SHIL'NOV
Keyword(s):  
Magnetic Field ◽  
Gravitational Field ◽  
Magnetic Fields ◽  
Symmetry Breaking ◽  
Effective Potential ◽  
Constant Magnetic Field ◽  
Dynamical Symmetry ◽  
Green Functions ◽  
Dynamical Symmetry Breaking ◽  
Njl Model

We investigate the effects of the external gravitational and constant magnetic fields to the dynamical symmetry breaking. As simple models of the dynamical symmetry breaking we consider the Nambu–Jona-Lasinio (NJL) model and the supersymmetric Nambu–Jona-Lasinio (SUSY NJL) model nonminimally interacting with the external gravitational field and minimally interacting with constant magnetic field. The explicit expressions for the scalar and spinor Green functions are found to the first order in the space–time curvature and exactly for a constant magnetic field. We obtain the effective potential of the above models from the Green functions in the magnetic field in curved space–time. Calculating the effective potential numerically with the varying curvature and/or magnetic fields we show the effects of the external gravitational and magnetic fields to the phase structure of the theories. In particular, increase of the curvature in the spontaneously broken phase of the chiral symmetry due to the fixed magnetic field makes this phase to be less broken. At the same time the strong magnetic field quickly induces chiral symmetry breaking even in the presence of fixed gravitational field within the nonbroken phase.

MESONS AND DIQUARKS IN A NJL MODEL AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL

1993 ◽  
Vol 08 (07) ◽  
pp. 1295-1312 ◽  
Author(s):  
D. EBERT ◽  
YU. L. KALINOVSKY ◽  
L. MÜNCHOW ◽  
M.K. VOLKOV
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Baryon Number ◽  
Coupling Constants ◽  
Number Density ◽  
Njl Model

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.

scholarly journals NAMBU–JONA–LASINIO MODEL IN CURVED SPACETIME WITH MAGNETIC FIELD

1996 ◽  
Vol 11 (25) ◽  
pp. 2053-2063 ◽  
Author(s):  
B. GEYER ◽  
L.N. GRANDA ◽  
S.D. ODINTSOV
Keyword(s):  
Magnetic Field ◽  
Gravitational Field ◽  
Chiral Symmetry ◽  
Proper Time ◽  
Chiral Symmetry Breaking ◽  
Curved Spacetime ◽  
Njl Model ◽  
Nonzero Curvature ◽  
Curvature Approximation ◽  
The Magnetic Field

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.

Chiral Symmetry Breaking as a Phase Transition in QED Plus NJL Model

1994 ◽  
Vol 21 (1) ◽  
pp. 73-84 ◽  
Author(s):  
Guang-Jiong Ni ◽  
Ji-Fang Yang ◽  
Dao-Hia Xu ◽  
Su-Qing Chen
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Njl Model
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