https://doi.org/10.1140/epjc/s10052-020-8100-x
Regular Article - Theoretical Physics
1/N expansion for Horava–Lifshitz like four-fermion models
1
Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, São Paulo, SP, 05315-970, Brazil
2
Instituto de Física, Universidade Federal de Alagoas, Maceió, Alagoas, 57072-270, Brazil
3
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, Paraíba, 58051-970, Brazil
* e-mail: petrov@fisica.ufpb.br
Received:
2
April
2020
Accepted:
29
May
2020
Published online:
10
June
2020
We study a class of four-fermion Gross–Neveu like models in four dimensions with critical exponents and . The models with are in general perturbatively nonrenormalizable but we show that there are in special cases renormalizable in the context of the 1/N expansion. We calculate explicitly the effective potential for these models.
© The Author(s), 2020