BRST Hamiltonian for Bulk Quantized Gauge Theory

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.