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

High Energy Physics - Theory 2025-09-30 v1 Quantum Physics

Abstract

Exact solutions of the Klein-Gordon equation in an external non-Abelian gauge field with an SU(N) 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.

Keywords

Cite

@article{arxiv.2504.14953,
  title  = {Solution of the Klein-Gordon equation in external Yang-Mills gauge field},
  author = {V. V. Parazian},
  journal= {arXiv preprint arXiv:2504.14953},
  year   = {2025}
}

Comments

5 pages, no figures