Kinetics of spontaneous baryogenesis in non-stationary background

TL;DR

This paper investigates the dynamics of spontaneous baryogenesis in a non-stationary universe, highlighting how the fermionic representation affects baryonic chemical potential and solving the modified kinetic equations numerically.

Contribution

It provides a detailed analysis of baryogenesis kinetics in non-stationary backgrounds, including the impact of fermionic representations and a numerical solution of the modified kinetic equations.

Findings

The relation between baryonic chemical potential and Goldstone field derivative depends on fermionic representation.

The kinetic equation is modified for non-stationary backgrounds and solved numerically.

Energy conservation law is formally violated in the non-stationary case, affecting baryogenesis dynamics.

Abstract

Generation of the cosmological baryon asymmetry in frameworks of spontaneous baryogenesis is studied in detail. It is shown that the relation between baryonic chemical potential and the time derivative of the (pseudo)Goldstone field essentially depends upon the representation chosen for the fermionic fields with non-zero baryonic number (quarks). Kinetic equation is modified and numerically solved in equilibrium for the case of time dependent external background or finite integration time to be applicable to the case when energy conservation law is formally violated.