General Aspects of Symmetry Breaking

TL;DR

This paper explores a generalized algebraic approach to symmetry breaking, extending beyond potentials and applying to non-compact groups, unifying concepts of mass in space-time and the Higgs mechanism through GL(2,C).

Contribution

It introduces a novel algebraic framework for symmetry breaking that encompasses non-compact groups and potential-independent cases, unifying mass concepts in space-time and particle physics.

Findings

Generalized symmetry breaking beyond potentials

Examples of symmetry breaking with and without potentials

Unified model of mass in space-time and Higgs mechanism

Abstract

On basis of an algebraic analysis of symmetry breaking in general and the Higgs mechanism in the standard model of elementary particles we generalize the concept of symmetry breaking to systems with non-compact groups but not necessarily caused by a potential. Thereto we give some simple, but unfamiliar examples of symmetry breaking with and without potentials. The analysis of the concept of mass in space-time and in the Higgs mechanism will lead to a model unifying both structures in terms of symmetry breaking of GL(2,C).