BRST Hamiltonian for Bulk-Quantized Gauge Theory
arXiv:hep-th/0301222 · doi:10.1088/1126-6708/2003/03/047
Abstract
By treating the bulk-quantized Yang-Mills theory as a constrained system we obtain a consistent gauge-fixed BRST hamiltonian in the minimal sector. This provides an independent derivation of the 5-d lagrangian bulk action. The ground state is independent of the (anti)ghosts and is interpreted as the solution of the Fokker-Planck equation, thus establishing a direct connection to the Fokker-Planck hamiltonian. The vacuum state correlators are shown to be in agreement with correlators in lagrangian 5-d formulation. It is verified that the complete propagators remain parabolic in one-loop dimensional regularization.
23 pages, AMS-LaTeX, 1 feynmf diagram, added 2 refs email address