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arXiv · hep-th/0301222

BRST Hamiltonian for Bulk-Quantized Gauge Theory

Alexander Rutenburg
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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.

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Alexander Rutenburg. 2003-03-03. BRST Hamiltonian for Bulk-Quantized Gauge Theory. https://doi.org/10.1088/1126-6708%2F2003%2F03%2F047

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