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.
Similar content being viewed by others
References
L. H. Ryder, Quantum Field Theory, Cambridge Univ Press., Cambridge (1985); N. F. Nelipa, Physics of Elementary Particles: Gauge Fields [in Russian], Vysshaya Shkola, Moscow (1985).
A. A. Slavnov and L. D. Faddeev, Introduction to the Quantum Theory of Gauge Fields [in Russian], Nauka, Moscow (1988); English transl.: L. D. Faddeev and A. A. Slavnov, Gauge Fields: Introduction to Quantum Theory, Benjamin, London (1990); A. S. Rabinowitch, Internat. J. Theoret. Phys., 39, 2457 (2000).
G. ’t Hooft, Nucl. Phys. B, 79, 276 (1974); A. M. Polyakov, JETP Letters, 20, 194 (1974); R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, and H. C. Morris, Solitons and Nonlinear Wave Equations, Acad. Press, London (1982); A. S. Rabinowitch, Russ. J. Math. Phys., 12, 379 (2005).
Author information
Authors and Affiliations
Additional information
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 148, No. 2, pp. 243–248, August, 2006.
Rights and permissions
About this article
Cite this article
Rabinowitch, A.S. Exact axially symmetric wave solutions of the Yang-Mills equations. Theor Math Phys 148, 1081–1085 (2006). https://doi.org/10.1007/s11232-006-0102-9
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s11232-006-0102-9