1995/06/07 by Hiroyuki Fujita, Fujita, Hiroyuki, Sh. M. Shvàrtsman +2 · 1 citation
Physics and Astronomy · #Atomic and Molecular Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9506046
21 pages, Latex file, no figs
arxiv created 1995/06/07 · arxiv updated 2009/11/30
Two-dimensional heavy-quark QCD is studied in the light-cone coordinates with (anti-) periodic field boundary conditions. We carry out the light-cone quantization of this gauge invariant model. To examine the role of the zero modes of the gauge degrees of freedom, we consider the quantization procedure in the zero mode and the nonzero mode sectors separately. In both sectors, we obtain the physical variables and their canonical (anti-) commutation relations. The physical Hamiltonian is constructed via a step-by-step elimination of the unphysical degrees of freedom. It is shown that the zero modes play a crucial role in the self-interaction potential of both the heavy-quarks and gluons, and in the interaction potential between them. It is also shown that the Faddeev-Popov determinant depends on the zero modes of the gauge degrees of freedom. Therefore, one needs to introduce the Faddeev-Popov ghosts in their own nonzero mode sector.