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arXiv · hep-th/9610056

The Path Integral for 1+1-dimensional QCD

O. Jahn·T. Kraus·M. Seeger
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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.

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O. Jahn, T. Kraus, M. Seeger. 1996-10-09. The Path Integral for 1+1-dimensional QCD. https://doi.org/10.1142/s0217751x97002425

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