Path Integration in QCD with Arbitrary Space-Dependent Static Color Potential
Abstract
Description
We perform path integral for a quark (antiquark) in the presence of an arbitrary space-dependent static color potential A^a_0(x)(=-\int dx E^a(x)) with arbitrary color index a=1,2,...8 in SU(3) and obtain an exact non-perturbative expression for the generating functional. We show that such a path integration is possible even if one can not solve the Dirac equation in the presence of arbitrary space-dependent potential. It may be possible to further explore this path integral technique to study non-perturbative bound state formation.
11 pages latex, typos corrected, Accepted for Publication in Journal of High Energy Physics
11 pages latex, typos corrected, Accepted for Publication in Journal of High Energy Physics