Yang-Mills-Scalar-Matter Fields in the Quantum Hopf Fibration
Gustavo Amilcar Salda\~na Moncada
TL;DR
This paper explores solutions to a non-commutative geometric version of Yang-Mills-Scalar-Matter theory within the Hopf fibration framework, utilizing 3D calculus to extend classical gauge theories into non-commutative spaces.
Contribution
It introduces a novel approach to solving non-commutative Yang-Mills-Scalar-Matter equations using the 3D calculus on the Hopf fibration, advancing non-commutative gauge theory.
Findings
Explicit solutions to the non-commutative Yang-Mills-Scalar-Matter equations
Application of 3D calculus to non-commutative gauge theories
Extension of classical gauge theories into non-commutative geometrical frameworks
Abstract
In this paper we present solutions to the non-commutative geometrical version of the Yang-Mills-Scalar-Matter theory in the Hopf fibration using the --calculus.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Cosmology and Gravitation Theories