General properties and kinetics of spontaneous baryogenesis

TL;DR

This paper explores the fundamental aspects and kinetics of spontaneous baryogenesis, highlighting how different fermionic representations influence the baryonic chemical potential and showing that finite-time effects significantly alter the predicted baryon asymmetry.

Contribution

It provides a comprehensive analysis of spontaneous baryogenesis, emphasizing the dependence on fermionic representations and incorporating finite-time effects into the kinetic calculations.

Findings

The relation between the goldstone field derivative and chemical potential depends on fermionic representation.

Finite-time integration effects cause notable deviations from canonical baryon asymmetry predictions.

The study offers refined calculations for cosmological baryon asymmetry considering non-stationary backgrounds.

Abstract

General features of spontaneous baryogenesis are studied. The relation between the time derivative of the (pseudo)goldstone field and the baryonic chemical potential is revisited. It is shown that this relation essentially depends upon the representation chosen for the fermionic fields with non-zero baryonic number (quarks). The calculations of the cosmological baryon asymmetry are based on the kinetic equation generalized to the case of non-stationary background. The effects of the finite interval of the integration over time are also included into consideration. All these effects combined lead to a noticeable deviation of the magnitude of the baryon asymmetry from the canonical results.