Gauss' Law and Non-Linear Plane Waves for Yang-Mills Theory

We investigate Non-Linear Plane-Wave solutions of the classical Minkowskian Yang-Mills (YM) equations of motion. By imposing a suitable ansatz which solves Gauss' law for the \(SU(3)\) theory, we derive solutions which consist of Jacobi elliptic functions depending on an enumerable set of ellip...

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Bibliographic Details
Published inarXiv.org
Main Authors Tsapalis, A, Politis, E P, Maintas, X N, Diakonos, F K
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.03.2016
Subjects
Anharmonicity
Elliptic functions
Equations of motion
Physics - High Energy Physics - Theory
Plane waves
Yang-Mills theory
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Summary:We investigate Non-Linear Plane-Wave solutions of the classical Minkowskian Yang-Mills (YM) equations of motion. By imposing a suitable ansatz which solves Gauss' law for the \(SU(3)\) theory, we derive solutions which consist of Jacobi elliptic functions depending on an enumerable set of elliptic modulus values. The solutions represent periodic anharmonic plane waves which possess arbitrary non-zero mass and are exact extrema of the non-linear YM action. Among them, a unique harmonic plane wave with a non-trivial pattern in phase, spin and color is identified. Similar solutions are present in the \(SU(4)\) case while are absent from the \(SU(2)\) theory.
ISSN:2331-8422
DOI:10.48550/arxiv.1603.01858