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Main Authors: Alexander, Stephon, Alexandre, Bruno, Fine, Michael, Magueijo, João, Pezzelle, Max
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.17935
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author Alexander, Stephon
Alexandre, Bruno
Fine, Michael
Magueijo, João
Pezzelle, Max
author_facet Alexander, Stephon
Alexandre, Bruno
Fine, Michael
Magueijo, João
Pezzelle, Max
contents Graviweak theory seeks to unify gravity (specifically in its self-dual formulation) with the weak interaction, preying on their parallel chiral $SU(2)$ structures. In this paper we further this idea by folding it with the concept of spontaneous symmetry breaking. We do this first with a standard Higgs field and potential, starting with a unifying parity-invariant theory which splits into the usual gravity and weak sector under spontaneous symmetry breaking. By rewriting the theory in the two-spin framework we are then prompted to discuss generalizations, within the generic approach known as MacDowell-Mansouri theories where a larger internal gauge group is broken. One of the predictions of the ensuing construction is a non-minimal coupling in the low energy broken phase between curvature and the weak gauge fields, translating at the quantum level to a direct channel between the graviton and the weak bosons.
format Preprint
id arxiv_https___arxiv_org_abs_2505_17935
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spontaneous Symmetry Breaking in Graviweak Theory
Alexander, Stephon
Alexandre, Bruno
Fine, Michael
Magueijo, João
Pezzelle, Max
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Graviweak theory seeks to unify gravity (specifically in its self-dual formulation) with the weak interaction, preying on their parallel chiral $SU(2)$ structures. In this paper we further this idea by folding it with the concept of spontaneous symmetry breaking. We do this first with a standard Higgs field and potential, starting with a unifying parity-invariant theory which splits into the usual gravity and weak sector under spontaneous symmetry breaking. By rewriting the theory in the two-spin framework we are then prompted to discuss generalizations, within the generic approach known as MacDowell-Mansouri theories where a larger internal gauge group is broken. One of the predictions of the ensuing construction is a non-minimal coupling in the low energy broken phase between curvature and the weak gauge fields, translating at the quantum level to a direct channel between the graviton and the weak bosons.
title Spontaneous Symmetry Breaking in Graviweak Theory
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2505.17935