English

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

High Energy Physics - Theory 2009-11-11 v2

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\theta. By means of θ\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.

Keywords

Cite

@article{arxiv.hep-th/0507046,
  title  = {An Embedding of the BV Quantization into an N=1 Local Superfield Formalism},
  author = {D. M. Gitman and P. Yu. Moshin and A. A. Reshetnyak},
  journal= {arXiv preprint arXiv:hep-th/0507046},
  year   = {2009}
}

Comments

12 pages, LaTex, corrected typos, extended Introduction