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Conference papers

Integral equation for gauge invariant quark Green's function

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.
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Conference papers
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Contributor : Anne-Laure Sergent <>
Submitted on : Tuesday, June 24, 2008 - 12:00:32 PM
Last modification on : Wednesday, September 16, 2020 - 4:08:16 PM

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  • HAL Id : in2p3-00289966, version 1
  • ARXIV : 0806.3333



H. Sazdjian. Integral equation for gauge invariant quark Green's function. Joint Meeting Heidelberg-Liege-Paris-Wroclaw, Mar 2008, Spa, Belgium. ⟨in2p3-00289966⟩



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