Electroweak symmetry breaking in other terms

TL;DR

This paper explores various gauge-invariant descriptions of electroweak symmetry breaking, including tensor fields and geometric variables, to better understand their underlying structures and parallels to torsion.

Contribution

It introduces and compares new gauge-invariant frameworks for electroweak symmetry breaking, highlighting their structural similarities and differences.

Findings

Identifies parallels to torsion in different descriptions

Analyzes the gauge-invariant structure of the Weinberg--Salam model

Examines dynamical symmetry breaking via technicolour theories

Abstract

We analyse descriptions of electroweak symmetry breaking in terms of ultralocal antisymmetric tensor fields and gauge-singlet geometric variables, respectively; in particular, the Weinberg--Salam model and, ultimately, dynamical electroweak symmetry breaking by technicolour theories with enhanced symmetry groups. Our motivation is to unveil the manifestly gauge invariant structure of the different realisations. We find, for example, parallels to different types of torsion.