Abstract
In this article we explore the phase diagram associated to the symmetry breaking of a scalar self-interacting theory, induced by temperature and the presence of an external electric field. For such purpose, first we obtain the boson propagator, in the presence of a constant external electric field, both in the weak and strong field strength limits. Novel expansions are derived for the effective potential, valid for the whole range of temperature. We found inverse electric catalysis for the weak field region, i.e., a situation where the critical temperature diminishes as function of the strength of the electric field whereas for a strong field electric catalysis emerges. These behaviors, in the weak and strong intensity sectors, are valid for all possible values of temperature.
Highlights
The analysis of the phase space of quantum chromodynamics (QCD) is a central issue in the discussion of hadron physics and strong interactions
In this article we explore the phase diagram associated to the symmetry breaking of a scalar selfinteracting theory, induced by temperature and the presence of an external electric field
We found inverse electric catalysis for the weak field region, i.e., a situation where the critical temperature diminishes as function of the strength of the electric field whereas for a strong field electric catalysis emerges
Summary
The analysis of the phase space of quantum chromodynamics (QCD) is a central issue in the discussion of hadron physics and strong interactions. The idea of analyzing the role of external electric fields as a new effect in the discussion of phase transitions has been recently introduced in literature Those electric fields appear in asymmetric peripheral relativistic heavy ion collisions, for example Cu þ Au collisions [28–30], where in the overlapping region a strong electric field appears. As a toy model, the symmetry breaking pattern of a self-interacting theory of charged bosons, a λφ theory, under the influence of an electric field and temperature As it is well known, such a discussion proceeds through the determination of the effective potential. The main conclusion will be the appearance of inverse electric catalysis in the weak field sector whereas in the strong field sector electric catalysis appears In both cases we found explicit analytic expression valid for all values of temperature.
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