Solution of the Klein–Gordon equation in external Yang–Mills gauge field

Exact solutions of the Klein–Gordon equation in an external non-Abelian gauge field with an SU[Formula: see text] symmetry group have been obtained. The external field is a solution of the Yang–Mills equations and describes a plane wave on the light cone. The obtained solutions form a complete set and can be used in the procedure of canonical quantization of scalar fields.

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Publication Details

Journal
International Journal of Modern Physics A
Published
2025-07-18
DOI
https://doi.org/10.1142/s0217751x2550126x
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
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article

Solution of the Klein–Gordon equation in external Yang–Mills gauge field

V. V. Parazian
2 links
International Journal of Modern Physics A
Quantum Chromodynamics and Particle Interactions
article

Solution of the Klein–Gordon equation in external Yang–Mills gauge field

V. V. Parazian
article en

Abstract

Exact solutions of the Klein–Gordon equation in an external non-Abelian gauge field with an SU[Formula: see text] symmetry group have been obtained. The external field is a solution of the Yang–Mills equations and describes a plane wave on the light cone. The obtained solutions form a complete set and can be used in the procedure of canonical quantization of scalar fields.

International Journal of Modern Physics AVol. 40(29)
Institute for Informatics and Automation Problems (AM)
Openalex Percentile: Top 92%
Quantum Chromodynamics and Particle Interactions
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Solution of the Klein–Gordon equation in external Yang–Mills gauge field — V. V. Parazian · International Journal of Modern Physics A (2025) | TGRS Research Map | TGRS