1996/10/09 by O. Jahn, T. Kraus, M. Seeger · 1 citation
Physics and Astronomy · #Amplitude #Expression (computer science) #Faddeev–Popov ghost #Gauge (firearms) #Gauge theory #Invariant (physics) #Particle physics theoretical and experimental studies #Path integral formulation #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum chromodynamics #Sign (mathematics) #hep-th
paper · pdf · doi:10.1142/s0217751x97002425
published in International Journal of Modern Physics A 12(24), 4445-4459 (World Scientific) · 16 pages, LaTeX, 3 PostScript figures, uses epsf.sty
arxiv created 1996/10/09 · openalex publication_date 1997/09/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.