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Abstract
The generation of a fermion dynamical mass due to the interactions of fermion particles in the presence of a homogeneous and constant external magnetic field is a phenomenon that can find important applications within different areas of physics, as cosmology and condensed matter. One important question to understand is how the inclusion of new field interactions affects the field-induced fermion mass generation, since it can shed light on the relevance of different models of field-induced dynamical mass generations for different applications. In this work, a numerical and graphical solution of the equation yielding fermion dynamical mass in a model with fermion-scalar interactions is obtained, and the behavior of the mass as a function of the interaction strength is determined. The obtained results are basically in agreement with those of the constant mass approximation: the fermion-scalar interactions strengthen the field-induced mass generation.
Keywords: Fermion Gap Equation. ... Introduction
The observation of large-scale galactic magnetic fields in a number of galaxies, in galactic halos, and in clusters of galaxies has recently stimulated a large number of works trying to explain the physical mechanism responsible for the origin of these fields [1]. Many of the proposed generating mechanisms have compelling arguments in favor of the existence of strong primordial magnetic fields. Since primordial magnetic fields could play a significant role in particle cosmology, the investigations on the theme have recently boomed.
In this context, it has been recently speculated [2] that if the electroweak phase transition that took place during the early universe evolution would have occurred in the presence of a primordial magnetic field, the field could have helped to make the transition strong enough of first order (by increasing the vacuum expectation value of the Higgs field at the electroweak critical temperature) as to produce the amount of baryon asymmetry observed in the universe nowadays.
Approximate Word count = 1206
Approximate Pages = 4.8
(250 words per page double spaced)
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