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

D. M. Gitman·P. Yu. Moshin·A. A. Reshetnyak
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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 $θ$. By means of $θ$-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.

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D. M. Gitman, P. Yu. Moshin, A. A. Reshetnyak. 2005-08-15. An Embedding of the BV Quantization into an N=1 Local Superfield Formalism. https://doi.org/10.1016/j.physletb.2005.06.071

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