Radial propagators and Wilson loops

Details Radial propagators and Wilson loops Radial propagators and Wilson loops

1996-04-02

arxiv.org/abs/hep-th/9604015v1

Phys.Rev. D54 (1996) 7695-7709

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX2e, 4 postscript figures included. Uses epsf, latexsym, amssymb and fancyheadings

Scientific paper

10.1103/PhysRevD.54.7695

We present a relation which connects the propagator in the radial (Fock-Schwinger) gauge with a gauge invariant Wilson loop. It is closely related to the well-known field strength formula and can be used to calculate the radial gauge propagator. The result is shown to diverge in four-dimensional space even for free fields, its singular nature is however naturally explained using the renormalization properties of Wilson loops with cusps and self-intersections. Using this observation we provide a consistent regularization scheme to facilitate loop calculations. Finally we compare our results with previous approaches to derive a propagator in Fock-Schwinger gauge.

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