Beyond-constant-mass approximation solutions for magnetically catalyzed fermion and scalar masses are found in a gauge Higgs-Yukawa theory in the presence of a constant magnetic field. The obtained fermion masses are several orders of magnitude larger than those found in the absence of Yukawa interactions. The masses obtained within the beyond-constant-mass approximation exactly reduce to the results within the constant-mass approach when the condition $\nu \ln (\frac{ 1}{ \hat{ m}^{ 2}})\ll 1$ is satisfied. Possible applications to early universe physics and condensed matter are discussed.
Categories: hep-ph cond-mat