Yang-Mills-Scalar-Matter Fields in the Two-Point Space
Gustavo Amilcar Salda\~na Moncada
TL;DR
This paper develops a non-commutative geometric formulation of Yang-Mills and scalar matter theories using quantum principal bundles, providing a new mathematical framework for these gauge theories.
Contribution
It introduces a concrete example of non-commutative Yang-Mills and scalar matter theories based on Durdevich's quantum principal bundles, expanding the mathematical tools available.
Findings
Constructs a non-commutative version of Yang-Mills theory.
Integrates scalar matter fields into the non-commutative framework.
Provides a concrete example using quantum principal bundles.
Abstract
The purpose of this work is to present a Non--Commutative Geometrical version of the Yang--Mills Theory and the Yang--Mills Scalar Matter Theory by constructing a concrete example using M. Durdevich's theory of quantum principal bundles.
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Taxonomy
TopicsRelativity and Gravitational Theory · Algebraic and Geometric Analysis · Quantum and Classical Electrodynamics