https://doi.org/10.1140/epja/s10050-023-01097-2
Regular Article - Theoretical Physics
Effective potential and mass behavior of a self-interacting scalar field theory due to thermal and external electric and magnetic fields effects
1
Facultad de Ingeniería, Arquitectura y Diseño, Universidad San Sebastián, Santiago, Chile
2
Centre for Theoretical and Mathematical Physics, and Department of Physics, University of Cape Town, 7700, Rondebosch, South Africa
3
Centro Científico-Tecnológico de Valparaíso CCTVAL, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile
4
Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile
5
Instituto de Ciencias Básicas, Universidad Diego Portales, Casilla 298-V, Santiago, Chile
6
Centro de Investigación y Desarrollo en Ciencias Aeroespaciales (CIDCA), Academia Politécnica Aeronáutica, Fuerza Aérea de Chile, Casilla, 8020744, Santiago, Chile
Received:
6
April
2023
Accepted:
26
July
2023
Published online:
8
August
2023
In this article we address the subject of finding the behavior of a charged scalar field 
under the influence of external constant magnetic and electric fields, perpendicular to each other, including also thermal effects. For this purpose we derive an expression for the corresponding bosonic propagator. As an application, we explore, in the weak field sector, the mass correction for the self interacting 
theory when only one type of field, including finite temperature, is present and the case where both fields are included in the analysis. We also analyze the phase diagram associated to spontaneous symmetry breaking of the theory finding inverse magnetic catalysis (IMC) or inverse electric catalysis (IEC) for the cases where only a magnetic field or only an electric field are present, respectively. In both cases, taken separately, we have a scenario where the critical temperature associate to symmetry restoration diminishes as function of the corresponding field strengths. A similar situation happens when both type of fields are simultaneously present. We have dubbed this case as inverse magnetic -electric catalysis (IMEC). In this situation, both fields cooperate for the occurrence of IMEC.
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
