https://doi.org/10.1140/epjc/s10052-024-13391-4
Regular Article - Theoretical Physics
Derivative four-fermion model, effective action and bumblebee generation
1
Instituto de Física, Universidade Federal de Alagoas, 57072-900, Maceió, Alagoas, Brazil
2
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil
Received:
8
August
2024
Accepted:
16
September
2024
Published online:
9
October
2024
In this paper, we study the one-loop effective potential of a derivative four-fermion model. As a result, an exact bumblebee-like potential is radiatively generated. Afterwards, we generalize our study for a finite temperature case and explicitly demonstrate the possibility of phase transitions allowing for the restoration of the Lorentz symmetry. We also investigate the low-energy effective action, from which we obtain the usual kinetic term and the corresponding bumblebee potential.
© The Author(s) 2024
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