Non-Abelian Supercurrents and de Sitter Ground State in Electroweak Theory

TL;DR

This paper introduces a novel variable change in the Weinberg-Salam model that simplifies gauge symmetry breaking, reveals a strongly coupled regime, and suggests a gravity interpretation with de Sitter space as the ground state.

Contribution

It presents a new variable framework for the electroweak theory that avoids explicit gauge fixing and links the model to gravity and topological defect descriptions.

Findings

Gauge symmetry breaking can be achieved without gauge fixing.

The new variables describe a strongly coupled electroweak regime.

The model can be interpreted as a gravity theory with de Sitter ground state.

Abstract

We show that gauge symmetry breaking in the Weinberg-Salam model can be implemented by a mere change of variables and without any explicit gauge fixing. The change of variables entails the concept of supercurrent which has been widely employed in the study of superconductivity. It also introduces a separation between the isospin and the hypercharge, suggesting that our new variables describe a strongly coupled regime of the electroweak theory. We discuss the description of various embedded topological defects in terms of these variables. We also propose that in terms of our variables the Weinberg-Salam model can be interpreted in terms of a gravity theory with the modulus of Higgs field as dilaton and the de Sitter space as the ground state.