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Integral equation for gauge invariant quark Green's function

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.2987184· OSTI ID:21152404
 [1]
  1. Institut de Physique Nucleaire, CNRS/IN2P3, Universite Paris-Sud 11, F-91406 Orsay (France)
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.
OSTI ID:
21152404
Journal Information:
AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1038; ISSN 0094-243X; ISSN APCPCS
Country of Publication:
United States
Language:
English

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