The Path Integral for 1+1-dimensional QCD

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.

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

References in corpus (6)

• Canonical Quantization of Two Dimensional Gauge Fields
• Two dimensional QCD is a one dimensional Kazakov-Migdal model
• Phase space structure and the path integral for gauge theories on a cylinder
• Integrability and duality in two-dimensional QCD
• Yang-Mills Theory on a Cylinder Coupled to Point Particles
• On Eigenvalue Decompactification in QCD${}_{1+1}$

Cited by in corpus (1)

• The Configuration Space of Low-dimensional Yang-Mills Theories