Finite temperature behavior of gauge hierarchy models with quantum mechanical resuscitation

Abstract

Abstract We investigate the finite temperature behavior of Dimopoulos and Georgi's hierarchy model where the grand unification scale M G is naturally generated by the quantum corrections. Owing to the particular form, M 2 π 2 ( e 2 ln π − 1), of the scalar potential, the first order GUT phase transition takes place at the critical temperature T c ∼ 10 9−12 GeV much lower than M G . If M G should be of O( M P ) (Planck mass), the universe may undergo an inflationary stage to expand enough. Baryon number asymmetry might be produced by the decay of colored scalars with a mass of 10 10−12 GeV.