2005/07/02 by D. M. Gitman, Д. М. Гитман, P. Yu. Moshin +2 · 10 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Artificial intelligence #Black Holes and Theoretical Physics #Computer science #Embedding #Gauge theory #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Philosophy #Pure mathematics #Quantization (signal processing) #Scroll #Superfield #Supersymmetry #hep-th
paper · pdf · doi:10.1016/j.physletb.2005.06.071
published in Physics Letters B 621(3-4), 295-308 (Elsevier BV) · 12 pages, LaTex, corrected typos, extended Introduction
openalex publication_date 2005/07/02 · arxiv created 2005/08/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.