The Path Integral for 1+1-dimensional QCD
High Energy Physics - Theory
2009-10-30 v1
Abstract
We derive a path integral expression for the transition amplitude in 1+1-dimensional QCD starting from canonically quantized QCD. Gauge fixing after quantization leads to a formulation in terms of gauge invariant but curvilinear variables. Remainders of the curved space are Jacobians, an effective potential, and sign factors just as for the problem of a particle in a box. Based on this result we derive a Faddeev-Popov like expression for the transition amplitude avoiding standard infinities that are caused by integrations over gauge equivalent configurations.
Keywords
Cite
@article{arxiv.hep-th/9610056,
title = {The Path Integral for 1+1-dimensional QCD},
author = {O. Jahn and T. Kraus and M. Seeger},
journal= {arXiv preprint arXiv:hep-th/9610056},
year = {2009}
}
Comments
16 pages, LaTeX, 3 PostScript figures, uses epsf.sty