Structure of the high temperature gauge ground state and electroweak production of the baryon asymmetry
Abstract
We investigate the connection of the baryon asymmetry of the universe (BAU) with the ChernSimons structure of the ground state of gauge theories at high temperatures. We formulate in an explicitly gaugeinvariant way the notion of the effective potential for density of the ChernSimons charge and estimate CP noninvariant corrections to it coming from the nonequilibrium stages of universe expansion. We find that for the case of trivial structure of the ground state the BAU production is only possible if the lowenergy CP violation in anomalous reactions δ_{ms} is larger than 10^{4}. We discuss the fate of the CP domain structure of the universe which appears when there is discrete degeneracy of the ground state. The magnitude of BAU could be large only with sufficiently strong high temperature CP violation. So the BAU generation in the framework of standard electroweak theory (where δ_{ms}~10^{18}) takes place only when there is infinite degeneracy. We estimate the Higgs and top masses in the ColemanWeinberg type of theory.
Permanent address.
 Publication:

Nuclear Physics B
 Pub Date:
 April 1988
 DOI:
 10.1016/05503213(88)903732
 Bibcode:
 1988NuPhB.299..797S