Hypercomplex Yang-Mills Theory as a Bipartite Gauge Field Model

Fuente: arXiv
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Hauptverfasser: Arellano, C. M. López, Cartas-Fuentevilla, R.
Format: Preprint
Veröffentlicht: 2026
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author Arellano, C. M. López
Cartas-Fuentevilla, R.
author_facet Arellano, C. M. López
Cartas-Fuentevilla, R.
contents A non-Abelian gauge field framework is proposed using the hypercomplex ring formalism. This extension generates non-compact hyperbolic symmetries, which, alongside the compact gauge symmetries, double the internal degrees of freedom. This will enable the description of bipartite gauge systems and demonstrate how field dissipation operates at the dynamical level. Working within a commutative ring allows for the decoupling of the algebraic structures and facilitates the construction of solutions to the equations of motion.
format Preprint
id arxiv_https___arxiv_org_abs_2605_29435
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Hypercomplex Yang-Mills Theory as a Bipartite Gauge Field Model
Arellano, C. M. López
Cartas-Fuentevilla, R.
High Energy Physics - Theory
Mathematical Physics
A non-Abelian gauge field framework is proposed using the hypercomplex ring formalism. This extension generates non-compact hyperbolic symmetries, which, alongside the compact gauge symmetries, double the internal degrees of freedom. This will enable the description of bipartite gauge systems and demonstrate how field dissipation operates at the dynamical level. Working within a commutative ring allows for the decoupling of the algebraic structures and facilitates the construction of solutions to the equations of motion.
title Hypercomplex Yang-Mills Theory as a Bipartite Gauge Field Model
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2605.29435