The Path Integral for 1+1-dimensional QCD

Details The Path Integral for 1+1-dimensional QCD The Path Integral for 1+1-dimensional QCD

1996-10-09

arxiv.org/abs/hep-th/9610056v1

Int.J.Mod.Phys. A12 (1997) 4445-4459

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, 3 PostScript figures, uses epsf.sty

Scientific paper

10.1142/S0217751X97002425

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.

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