New wave solutions of the Yang-Mills equations with axially symmetric sources

  • Authors

    • Alexander S. Rabinowitch Department of Applied Mathematics, Moscow State University of Instrument Engineering and Computer Science
    https://doi.org/10.14419/ijams.v1i3.1010
  • Electroweak interactions, field potentials and strengths, non-Abelian waves, SU(2) symmetry, Yang-Mills equations.

  • Abstract

    A class of nontrivial axially symmetric wave solutions to the Yang-Mills equations with SU(2) symmetry is studied. It describes transversal non-Abelian waves propagated at constant phase velocities through axially symmetric sources of Yang-Mills fields along their axes. In the considered case, the Yang-Mills equations are reduced to a system of six nonlinear partial differential equations. These equations are studied for a special class of axially symmetri sources satisfying a differential equation of charge conservation. From them partial differential equations of the first order for only the Yang-Mills field strengths are derived. To investigate these equations, a special method is proposed. As a result, their exact solutions are found. Using them, exact formulas for the field strengths and potentials in the non-Abelian waves under examination are obtained.

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  • How to Cite

    Rabinowitch, A. S. (2013). New wave solutions of the Yang-Mills equations with axially symmetric sources. International Journal of Advanced Mathematical Sciences, 1(3), 109-121. https://doi.org/10.14419/ijams.v1i3.1010