Electro-weak Model within the framework of Lorentz gauge theory: Ashtekar variables?

TL;DR

This paper explores a geometrical formulation of the electroweak model using a 5D Lorentz gauge theory within the Kaluza-Klein framework, investigating the potential for Ashtekar variables in this higher-dimensional setting.

Contribution

It introduces a novel approach to geometrize the electroweak model in five dimensions and examines the feasibility of applying Ashtekar variables in this context.

Findings

Electroweak model formulated as a 5D gauge theory of Lorentz group

Analysis of Ashtekar variables on a 5D Kaluza-Klein manifold

Potential implications for quantum gravity approaches

Abstract

The Electroweak (EW) model is geometrized in the framework of a 5D gauge theory of the Lorentz group, after the implementation of the Kaluza-Klein (KK) paradigm. The possibility of introducing Ashtekar variables on a 5D KK manifold is considered on the ground of its geometrical structure.