The path integral for (1+1)-dimensional QCD

We derive a path integral expression for the transition amplitude in (1 + 1)-dimensional QCD starting from canonically quantized QCD. Gauge fixing after quantization(1) 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.