Thermodynamic stability of a cosmological SU(2)-weak gauge field

TL;DR

This paper constructs and analyzes the thermodynamic stability of the initial thermal state of an SU(2) gauge field in a cosmological model, supporting its physical plausibility.

Contribution

It demonstrates the thermodynamic stability of the initial thermal state of the SU(2) gauge field in the CGF cosmology, a step towards a complete cosmological theory.

Findings

Initial thermal state constructed and shown to be stable.

Supports the physical naturalness of the CGF cosmology.

Lays groundwork for future evolution calculations.

Abstract

The CGF cosmology is a complete theory of cosmology from the electroweak transition onward. It is semi-classical. At leading order the only matter is dark matter -- a cosmological SU(2)-weak gauge field (the CGF). Ordinary matter is a subleading correction from fluctuations around the classical state. The CGF is periodic in imaginary time. It acts as thermal bath for the fluctuations of the Standard Model fields. Here, the initial thermal state of the SU(2) gauge field fluctuations is constructed and shown to be thermodynamically stable. This is a warm-up for (1) constructing the initial thermal state of all the fluctuations in order to calculate its time evolution and (2) showing that initial state to be thermodynamically stable in order to show that the CGF cosmology is physically natural.