Abstract
The phase structure of a four-fermion (4F) model in curved spacetime with a magnetic field is investigated (in the framework of a 1/N expansion and an approximation linear in the curvature). The effective potential for the combined fields\(\bar \psi \psi \) is calculated for the following situations: a) nonzero curvature and b) nonzero curvature and nonzero magnetic field. It is shown that the gravitational field may offset the magnetic-field effect, with restoration of chiral symmetry as the result.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 43–47, July, 1997.
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Haier, B., Granda, L.N. & Odintsov, S.D. Violation of chiral symmetry in curved spacetime with a magnetic field. Russ Phys J 40, 630–634 (1997). https://doi.org/10.1007/BF02514951
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DOI: https://doi.org/10.1007/BF02514951