Function group approach to unconstrained Hamiltonian Yang-Mills theory

Details Function group approach to unconstrained Hamiltonian Yang-Mills theory Function group approach to unconstrained Hamiltonian Yang-Mills theory

2004-09-14

arxiv.org/abs/hep-th/0409142v2

J.Math.Phys. 46 (2005) 102302

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX2e; 2 references added in v2

Scientific paper

10.1063/1.2040327

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.

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