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On a new class of progressive waves in Yang–Mills fields with SU(2) symmetry

Nuclear Physics B. 2024. Vol. 1001. Article 116505.
Alexander S. Rabinowitch

In the present paper, a new class of wave solutions to the Yang-Mills equations with SU(2) symmetry is considered. They describe the propagation of non-Abelian transverse progressive waves. In the case under consideration, the problem is reduced to six nonlinear partial differential equations. Their solutions are sought in a special form that allows them to be satisfied. The found exact wave solutions to the considered Yang-Mills equations do not have singularities in the entire space and have finite energies that can take any positive value. The obtained results can be used to detect non-Abelian  progressive waves in space.

Research target: Physics
Language: English
Full text
DOI
Keywords: Yang-Mills equationsSU(2) symmetryYang-Mills field strengthsnon-Abelian transverse waves
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