Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-12
Phys.Rev.D75:045021,2007
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 2 figures
Scientific paper
10.1103/PhysRevD.75.045021
Coulomb gauge Yang-Mills theory within the first order formalism is considered with a view to deriving the propagator Dyson-Schwinger equations. The first order formalism is studied with special emphasis on the BRS invariance and it is found that there exists two forms of invariance - invariance under the standard BRS transform and under a second, non-standard transform. The field equations of motion and symmetries are derived explicitly and certain exact relations that simplify the formalism are presented. It is shown that the Ward-Takahashi identity arising from invariance under the non-standard part of the BRS transform is guaranteed by the functional equations of motion. The Feynman rules and the general decomposition of the two-point Green's functions are derived. The propagator Dyson-Schwinger equations are derived and certain aspects (energy independence of ghost Green's functions and the cancellation of energy divergences) are discussed.
Reinhardt Hugo
Watson Peter
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