An Embedding of the BV Quantization into an N=1 Local Superfield Formalism

Abstract

We propose an N=1 superfield formulation of Lagrangian quantization in general hypergauges by extending a reducible gauge theory to a superfield model with a local dependence on a Grassmann parameter $\theta$. By means of $\theta$-local functions of the quantum and gauge-fixing actions in terms of Darboux coordinates on the antisymplectic manifold, we construct superfield generating functionals of Green's functions, including the effective action. We prove the gauge-independence of the S-matrix, obtain the Ward identities and establish a relation of the proposed local quantization with the BV method and the multilevel Batalin-Tyutin formalism.

arXiv comment12 pages, LaTex, corrected typos, extended Introduction

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• Gauge Invariant Lagrangian Formulations for Mixed Symmetry Higher Spin Bosonic Fields in AdS Spaces
• Superunitary operator and BRST transformations for non-Abelian two-form