Path Integration in QCD with Arbitrary Space-Dependent Static Color Potential
High Energy Physics - Theory
2009-03-12 v3 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
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.
Cite
@article{arxiv.0705.0005,
title = {Path Integration in QCD with Arbitrary Space-Dependent Static Color Potential},
author = {Gouranga C. Nayak},
journal= {arXiv preprint arXiv:0705.0005},
year = {2009}
}