https://doi.org/10.1140/epjp/s13360-024-04891-z
Regular Article
Two-loop renormalization of the CPT-even Lorentz-violating scalar QED
1
Departamento de Física, Instituto de Ciências Naturais, Universidade Federal de Lavras, Caixa Postal 3037, 37200-900, Lavras, Minas Gerais, Brazil
2
Instituto de Engenharia, Ciência e Tecnologia, Universidade Federal dos Vales do Jequitinhonha e Mucuri, Avenida Um, 4050, Cidade Universitária, 39447-790, Janaúba, Minas Gerais, Brazil
3
Departamento de Estatística, Física e Matemática, Universidade Federal de São João del Rei, Rod. MG-443, Km 7, Fazenda do Cadete, 36497-899, Ouro Branco, Minas Gerais, Brazil
4
Faculdade de Física, Universidade Federal do Pará, 66075-110, Belém, Pará, Brazil
5
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil
Received:
24
July
2023
Accepted:
10
January
2024
Published online:
27
January
2024
Investigating quantum effects arising from high loops in perturbation theory is crucial for the physical applications of any quantum field theory. This paper presents a comprehensive analysis of the two-loop renormalization of CPT-even Lorentz-violating scalar electrodynamics at the first order in the background vectors. We provide results for the self-energies of the photon and scalar field, as well as for the three-point function associated with the scalar–scalar–photon vertex, ensuring a thorough examination of the quantum effects. The asymptotic behavior of the model is investigated through the calculation of the beta functions, and the Ward identities are fulfilled, demonstrating the consistency of the result. Computational tools were employed to carry out the calculations, and we provide additional details in the Supplemental Material for interested readers.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epjp/s13360-024-04891-z.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
