In de Sitter space with a background magnetic field, the field catalyzes chiral symmetry breaking while Hubble curvature restores it, with a second-order phase boundary.
Nambu-Jona-Lasinio Model in Curved Spacetime with Magnetic Field
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abstract
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 $\bar\psi \psi$ is calculated using the proper-time cut-off in the following cases: a) at non-zero curvature, b) at non-zero curvature and non-zero magnetic field, and c) at non-zero curvature and non-zero 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.
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Magnetic Catalysis and Fermion Mass Generation in de Sitter Spacetime
In de Sitter space with a background magnetic field, the field catalyzes chiral symmetry breaking while Hubble curvature restores it, with a second-order phase boundary.