Integral equation for gauge invariant quark Green's function
High Energy Physics - Phenomenology
2008-11-26 v1
Abstract
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.
Cite
@article{arxiv.0806.3333,
title = {Integral equation for gauge invariant quark Green's function},
author = {H. Sazdjian},
journal= {arXiv preprint arXiv:0806.3333},
year = {2008}
}
Comments
7 pages; talk given at the Joint Meeting Heidelberg-Liege-Paris-Wroclaw, Spa, 6-8 March 2008; to appear in the Proceedings (AIP)