https://doi.org/10.1140/epjc/s10052-017-5430-4
Regular Article - Theoretical Physics
Effective potential in Lorentz-breaking field theory models
1
Centro Federal de Educação Tecnológica - MG, Avenida Amazonas, 7675, Nova Gameleira Belo Horizonte, MG, 30510-000, Brazil
2
Departamento de Polícia Federal, Setor Técnico-Científico, Rua Nascimento Gurgel, 30 - Gutierrez, Belo Horizonte, MG, Brazil
3
Departamento de Física, Universidade Federal de Lavras, Caixa Postal 3037, Lavras, MG, 37200-000, Brasil
4
Instituto de Engenharia, Ciência e Tecnologia, Universidade Federal dos Vales do Jequitinhonha e Mucuri, Avenida Manoel Bandeira, 460, Veredas, Janaúba, MG, 39440-000, Brazil
5
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, Paraíba, 58051-970, Brazil
* e-mail: jean.cfelipe@ufvjm.edu.br
Received:
30
June
2017
Accepted:
28
November
2017
Published online:
9
December
2017
We calculate explicitly the one-loop effective potential in different Lorentz-breaking field theory models. First, we consider a Yukawa-like theory and some examples of Lorentz-violating extensions of scalar QED. We observe, for the extended QED models, that the resulting effective potential converges to the known result in the limit in which Lorentz symmetry is restored. Besides, the one-loop corrections to the effective potential in all the cases we study depend on the background tensors responsible for the Lorentz-symmetry violation. This has consequences for physical quantities like, for example, in the induced mass due to the Coleman–Weinberg mechanism.
© The Author(s), 2017