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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, LaTeX

Scientific paper

10.1103/PhysRevD.54.2968

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.

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