Chiral symmetry breaking in d=3 NJL model in external gravitational and magnetic fields

Abstract

The phase structure of $d=3$ Nambu-Jona-Lasinio model in curved spacetime with magnetic field is investigated in the leading order of the $1/N$-expansion and in linear curvature approximation (an external magnetic field is treated exactly). The possibility of the chiral symmetry breaking under the combined action of the external gravitational and magnetic fields is shown explicitly. At some circumstances the chiral symmetry may be restored due to the compensation of the magnetic field by the gravitational field.

7 pages, LaTeX

References in corpus (5)

• Nambu-Jona-Lasinio Model in Curved Space-Time
• Phase structure of renormalizable four-fermion models in spacetimes of constant curvature
• A Soluble Model of Four-Fermion Interactions in de Sitter Space
• THERMAL EFFECTS ON THE CATALYSIS BY A MAGNETIC FIELD
• Chiral Symmetry Breaking in the $d=3$ Nambu-Jona-Lasinio Model in Curved Spacetime

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