Wong’s equations in Yang-Mills theory

• Authors: Sergey Storchak
• Languages of publication: EN

Abstracts

EN

Wong’s equations for the finite-dimensional dynamical system representing the motion of a scalar particle on a compact Riemannian manifold with a given free isometric smooth action of a compact semi-simple Lie group are derived. The equations obtained are written in terms of dependent coordinates which are typically used in an implicit description of the local dynamics given on the orbit space of the principal fiber bundle. Using these equations, we obtain Wong’s equations in a pure Yang-Mills gauge theory with Coulomb gauge fixing. This result is based on the existing analogy between the reduction procedures performed in a finite-dimensional dynamical system and the reduction procedure in Yang-Mills gauge fields.

Keywords

EN

Yang-Mills theory; Marsden-Weinstein reduction; Kaluza-Klein theories; Wong’s equation

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2014
• Volume: 12
• Issue: 4
• Pages: 233-244

Dates

published

1 - 4 - 2014

online

23 - 4 - 2014

Contributors

author

Sergey Storchak

• Institute for High Energy Physics, Protvino, Moscow Region, 142284, Russia

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Identifiers

DOI

10.2478/s11534-014-0439-x