Practical scheme of reduction to gauge invariant variables

Abstract

For systems with first class constraints the reduction scheme to the gauge invariant variables is considered. The method is based on the analysis of restricted 1-forms in gauge invariant variables. This scheme is applied to the models of electrodynamics and Yang-Mills theory. For the finite dimensional model with $SU(2)$ gauge group of symmetry the possible mechanism of confinement is obtained.

14 pages, Latex, no figures

References in corpus (2)

• An algebraic extension of Dirac quantization: Examples
• On Admissible Gauges for Constrained Systems

Cited by in corpus (4)

• Charges from Dressed Matter: Construction
• Charges in Gauge Theories
• Unconstrained SU(2) Yang-Mills Theory with Topological Term in the Long-Wavelength Approximation
• Particle dynamics on hyperboloid and unitary representation of SO(1,N) group