Onset of magnetic monopole-antimonopole condensation

TL;DR

This paper investigates the critical electric coupling strength needed for magnetic monopoles and antimonopoles to Bose condense in SU(2) Yang-Mills thermodynamics, with implications for the origin of leptons and weak interactions.

Contribution

It determines the critical coupling for monopole-antimonopole Bose condensation and links this to the emergence of leptons and weak interactions from pure SU(2) gauge dynamics.

Findings

Critical electric coupling strength identified for monopole condensation

Supports the emergence of the first lepton family from SU(2) gauge theory

Results suggest weak interactions originate from pure gauge dynamics

Abstract

We determine the critical strength of the effective electric coupling for the onset of Bose condensation of stable magnetic monopoles and antimonopoles in SU(2) Yang-Mills thermodynamics. Two scenarios are considered: infinitely fast and infinitely slow downward approach of the critical temperature. Our results support the claim that the first lepton family and the weak interactions emerge from pure SU(2) gauge dynamics of scale $\sim 0.5 $MeV.