SCHWINGER-DYSON BRST SYMMETRY AND THE EQUIVALENCE OF HAMILTONIAN AND LAGRANGIAN QUANTIZATION

Implementing the requirement that a field theory be invariant under Schwinger-Dyson BRST symmetry in the Hamiltonian formalism, we show the equivalence between Hamiltonian and Lagrangian BRST formalism at the path integral level. The Lagrangian quantum master equation is derived as a direct consequence of the Fradkin-Vilkovisky theorem in Hamiltonian BRST quantisation.