https://doi.org/10.1140/epjp/s13360-024-05831-7
Review
Possibility of spontaneous symmetry breaking in the Nambu-Jona-Lasinio model with torsion
Departamento de Física, ICE, Universidade Federal de Juiz de Fora, 36036-900, Juiz de Fora, Minas Gerais, Brazil
Received:
10
May
2024
Accepted:
12
November
2024
Published online:
2
December
2024
We discuss the Nambu-Jona-Lasinio (NJL) model in curved spacetime with torsion in the leading order of the 1/N expansion. The effective potential of the scalar-torsion sector is calculated using the new technique based on the nonlocal part of anomaly-induced action which was recently found to produce the effective potential in the low-energy limit. The spontaneous symmetry breaking caused by the change of the torsion term is found, confirming the statements known from the existing literature. Furthermore, the gap equation is calculated as a function of curvature and torsion. Finally, the behavior of the effective four-fermion coupling constant as a function of the torsion is discussed.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
