1/N expansion for Horava–Lifshitz like four-fermion models
Abstract We study a class of four-fermion Gross–Neveu like models in four dimensions with critical exponents $$z=2$$ z=2 and $$z=3$$ z=3 . The models with $$z=2$$ z=2 are in general perturbatively nonrenormalizable but we show that there are in special cases renormalizable in the context of the 1/N...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-8100-x |
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doaj-27fa7d861c3f412fa938d6857b453bf12020-11-25T03:37:41ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-06-018061710.1140/epjc/s10052-020-8100-x1/N expansion for Horava–Lifshitz like four-fermion modelsM. Gomes0T. Mariz1J. R. Nascimento2A. Yu. Petrov3A. J. da Silva4Instituto de Física, Universidade de São PauloInstituto de Física, Universidade Federal de AlagoasDepartamento de Física, Universidade Federal da ParaíbaDepartamento de Física, Universidade Federal da ParaíbaInstituto de Física, Universidade de São PauloAbstract We study a class of four-fermion Gross–Neveu like models in four dimensions with critical exponents $$z=2$$ z=2 and $$z=3$$ z=3 . The models with $$z=2$$ z=2 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.http://link.springer.com/article/10.1140/epjc/s10052-020-8100-x |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Gomes T. Mariz J. R. Nascimento A. Yu. Petrov A. J. da Silva |
| spellingShingle |
M. Gomes T. Mariz J. R. Nascimento A. Yu. Petrov A. J. da Silva 1/N expansion for Horava–Lifshitz like four-fermion models European Physical Journal C: Particles and Fields |
| author_facet |
M. Gomes T. Mariz J. R. Nascimento A. Yu. Petrov A. J. da Silva |
| author_sort |
M. Gomes |
| title |
1/N expansion for Horava–Lifshitz like four-fermion models |
| title_short |
1/N expansion for Horava–Lifshitz like four-fermion models |
| title_full |
1/N expansion for Horava–Lifshitz like four-fermion models |
| title_fullStr |
1/N expansion for Horava–Lifshitz like four-fermion models |
| title_full_unstemmed |
1/N expansion for Horava–Lifshitz like four-fermion models |
| title_sort |
1/n expansion for horava–lifshitz like four-fermion models |
| publisher |
SpringerOpen |
| series |
European Physical Journal C: Particles and Fields |
| issn |
1434-6044 1434-6052 |
| publishDate |
2020-06-01 |
| description |
Abstract We study a class of four-fermion Gross–Neveu like models in four dimensions with critical exponents $$z=2$$ z=2 and $$z=3$$ z=3 . The models with $$z=2$$ z=2 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. |
| url |
http://link.springer.com/article/10.1140/epjc/s10052-020-8100-x |
| work_keys_str_mv |
AT mgomes 1nexpansionforhoravalifshitzlikefourfermionmodels AT tmariz 1nexpansionforhoravalifshitzlikefourfermionmodels AT jrnascimento 1nexpansionforhoravalifshitzlikefourfermionmodels AT ayupetrov 1nexpansionforhoravalifshitzlikefourfermionmodels AT ajdasilva 1nexpansionforhoravalifshitzlikefourfermionmodels |
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