Supersymmetric Nambu-Jona-Lasinio Model in an External Gravitational Field

Abstract

We investigate the effect of an external gravitational fields to the chiral symmetry breaking in the SUSY (supersymmetric) NJL (Nambu-Jona-Lasinio) model non-minimally interacting with external supergravity. Evaluating the effective potential in the leading order of the $1/N_c$-expansion and in the linear curvature approximation it is found the possibility of 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.

8 pages, Latex, epic.sty and eepic.sty are used

Cited by in corpus (11)

• Dynamical symmetry breaking in the external gravitational and constant magnetic fields
• Curvature and topological effects on dynamical symmetry breaking in a four- and eight-fermion interaction model
• Curvature-induced phase transitions in the inflationary universe - Supersymmetric Nambu-Jona-Lasinio Model in de Sitter spacetime -
• Schwinger-Dyson Analysis of Dynamical Symmetry Breaking on a Brane with Bulk Yang-Mills Theory
• Phase Structure of a Four- and Eight-Fermion Interaction Model at Finite Temperature and Chemical Potential in Arbitrary Dimensions
• Effect of Dynamical SU(2) Gluons to the Gap Equation of Nambu--Jona-Lasinio Model in Constant Background Magnetic Field
• A Model of Curvature-Induced Phase Transitions in Inflationary Universe
• Pattern of Chiral Symmetry Restoration at Finite Temperature in A Supersymmetric Composite Model
• Quantum spinor field in the FRW universe with a constant electromagnetic background
• Topological chiral symmetry breaking in SUSY NJL in curved space-time
• Derivative four-fermion model, effective action and bumblebee generation