Dirac Equation in External Non-Abelian Gauge Field in Plane Wave Approximation
A.V.Koshelkin
TL;DR
This paper derives exact solutions to the Dirac equation for particles and antiparticles in a non-Abelian SU(N) gauge field modeled as a plane wave, advancing understanding of fermions in such gauge backgrounds.
Contribution
It provides the first complete set of solutions for the Dirac equation in a non-Abelian plane wave gauge field, including both particles and antiparticles.
Findings
Exact solutions for Dirac particles in non-Abelian plane wave fields.
Complete set of solutions for particles and antiparticles.
Framework for studying fermions in non-Abelian gauge backgrounds.
Abstract
The exact solutions of the Dirac equation in an external non-abelian SU(N) gauge field which is in the form of a plane wave on the light cone is obtained. The whole set of the solutions for both particles and anti-particle is constructed.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Gas Dynamics and Kinetic Theory · Quantum and Classical Electrodynamics