Derivative four-fermion model, effective action and bumblebee generation

Abstract 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 transit...

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Main Authors: R. Araújo, T. Mariz, J. R. Nascimento, A. Yu. Petrov
Format: Article
Language:English
Published: SpringerOpen 2024-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13391-4
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author R. Araújo
T. Mariz
J. R. Nascimento
A. Yu. Petrov
author_facet R. Araújo
T. Mariz
J. R. Nascimento
A. Yu. Petrov
author_sort R. Araújo
collection DOAJ
description Abstract 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.
format Article
id doaj-art-d8ebce855e83493184f8843cff8e4309
institution OA Journals
issn 1434-6052
language English
publishDate 2024-10-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-d8ebce855e83493184f8843cff8e43092025-08-20T02:20:38ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-10-0184101710.1140/epjc/s10052-024-13391-4Derivative four-fermion model, effective action and bumblebee generationR. Araújo0T. Mariz1J. R. Nascimento2A. Yu. Petrov3Instituto de Física, Universidade Federal de AlagoasInstituto de Física, Universidade Federal de AlagoasDepartamento de Física, Universidade Federal da ParaíbaDepartamento de Física, Universidade Federal da ParaíbaAbstract 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.https://doi.org/10.1140/epjc/s10052-024-13391-4
spellingShingle R. Araújo
T. Mariz
J. R. Nascimento
A. Yu. Petrov
Derivative four-fermion model, effective action and bumblebee generation
European Physical Journal C: Particles and Fields
title Derivative four-fermion model, effective action and bumblebee generation
title_full Derivative four-fermion model, effective action and bumblebee generation
title_fullStr Derivative four-fermion model, effective action and bumblebee generation
title_full_unstemmed Derivative four-fermion model, effective action and bumblebee generation
title_short Derivative four-fermion model, effective action and bumblebee generation
title_sort derivative four fermion model effective action and bumblebee generation
url https://doi.org/10.1140/epjc/s10052-024-13391-4
work_keys_str_mv AT raraujo derivativefourfermionmodeleffectiveactionandbumblebeegeneration
AT tmariz derivativefourfermionmodeleffectiveactionandbumblebeegeneration
AT jrnascimento derivativefourfermionmodeleffectiveactionandbumblebeegeneration
AT ayupetrov derivativefourfermionmodeleffectiveactionandbumblebeegeneration