This article is cited in 5 papers

Exact axially symmetric wave solutions of the Yang–Mills equations

A. S. Rabinovich

Moscow Akademy of Instrument Engineering and Informatics

Abstract: We find a class of exact axially symmetric wave solutions of the Yang–Mills equations with $SU(2)$ symmetry. The solutions in this class describe running waves propagating at the speed of light in a vacuum and contain two arbitrary differentiable functions of their phase. We consider properties of field sources that can generate such running waves.

Keywords: Yang–Mills equations, Yang–Mills field potentials, $SU(2)$ symmetry, axially symmetric wave solutions.

Received: 10.11.2005
Revised: 06.02.2006

DOI: 10.4213/tmf2083

 English version: Theoretical and Mathematical Physics, 2006, 148:2, 1081–1085

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