Function group approach to unconstrained Hamiltonian Yang-Mills theory
arXiv:hep-th/0409142 · doi:10.1063/1.2040327
Abstract
Starting from the temporal gauge Hamiltonian for classical pure Yang-Mills theory with the gauge group SU(2) a canonical transformation is initiated by parametrising the Gauss law generators with three new canonical variables. The construction of the remaining variables of the new set proceeds through a number of intermediate variables in several steps, which are suggested by the Poisson bracket relations and the gauge transformation properties of these variables. The unconstrained Hamiltonian is obtained from the original one by expressing it in the new variables and then setting the Gauss law generators to zero. This Hamiltonian turns out to be local and it decomposes into a finite Laurent series in powers of the coupling constant.
21 pages, LaTeX2e; 2 references added in v2
References in corpus (6)
- Resolution of Gauss' law in Yang-Mills theory by Gauge Invariant Projection: Topology and Magnetic Monopoles
- Yang-Mills Fields and Riemannian Geometry
- Spatial Geometry of the Electric Field Representation of Non-Abelian Gauge Theories
- Unconstrained Hamiltonian Formulation of SU(2) Gluodynamics
- Gauss's law and gauge-invariant operators and states in QCD
- Finite temperature formalism for nonabelian gauge theories in the physical phase space