https://doi.org/10.1140/epjp/s13360-024-05854-0
Regular Article
Boundary conditions and electromagnetic effects on the phase transition of a zero spin bosonic system
1
Faculdade de Física, Universidade Federal do Pará, 66075-110, Belém, Pará, Brazil
2
Independent researcher, Belém, Pará, Brazil
Received:
15
May
2024
Accepted:
17
November
2024
Published online:
15
December
2024
In the following paper, we will study a charged scalar field under an electromagnetic external field taking into account the spatial confining of the system. We shall use the Coleman-Weinberg method in one-loop approximation to obtain the effective potential of the model in the proper time representation. Through generalized Matsubara formalism, we applied several kinds of boundary conditions on the frontier of the system. The regularization of the model is performed by a scheme independent of the external electromagnetic applied field. The model presents phase transition and we carry out its analysis by the free energy density functional of the bosonic system. The findings show magnetic catalysis, electric catalysis, and inverse electric catalysis phenomena, all of them depending on the thickness of the system.
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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.