Integral equation for gauge invariant quark Green's function

Details Integral equation for gauge invariant quark Green's function Integral equation for gauge invariant quark Green's function

2008-06-20

arxiv.org/abs/0806.3333v1

AIPConf.Proc.1038:311-316,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages; talk given at the Joint Meeting Heidelberg-Liege-Paris-Wroclaw, Spa, 6-8 March 2008; to appear in the Proceedings (

Scientific paper

10.1063/1.2987184

We consider gauge invariant quark two-point Green's functions in which the gluonic phase factor follows a skew-polygonal line. Using a particular representation for the quark propagator in the presence of an external gluon field, functional relations between Green's functions with different numbers of segments of the polygonal lines are established. An integral equation is obtained for the Green's function having a phase factor along a single straight line. The related kernels involve Wilson loops with skew-polygonal contours and with functional derivatives along the sides of the contours.

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