Gauge invariant quarkonium bound state equation

Sazdjian, H.
October 2012
AIP Conference Proceedings;Oct2012, Vol. 1492 Issue 1, p226
Academic Journal
Path-ordered phase factors of gluon fields are used to construct gauge invariant quark Green's functions. Polygonal lines for the paths allow for a classification of the Green's functions according to the number of sides they contain. A closed set of relationships is obtained for these types of Green's function through functional relations among them. The corresponding equations of motion lead to integrodifferential equations with kernels involving Wilson loops along polygonal contours. Four-point Green's functions lead to bound state equations.


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