Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism

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dc.creatorWatson, Peter
dc.creatorReinhardt, Hugo
dc.date2006-12-12
dc.date.accessioned2026-07-07T11:59:33Z
dc.date.available2026-07-07T11:59:33Z
dc.descriptionCoulomb 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.
dc.description23 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0612114
dc.identifierhttp://arxiv.org/abs/hep-th/0612114
dc.identifierPhys.Rev.D75:045021,2007
dc.identifierdoi:10.1103/PhysRevD.75.045021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206599
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titlePropagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
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