2006/01/17 by Alexander A. Reshetnyak, Reshetnyak, Alexander A.
Mathematics · Physics and Astronomy · #51P05 #58D30 #81T13 #81T20 #81T70 #81T75 #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.hep-th/0601118
openalex publication_date 2006/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A Lagrangian BRST quantization for generic gauge theories in general irreducible non-Abelian hypergauges is proposed on a basis of the multilevel Batalin--Tyutin formalism and a special BV--BFV dual description for a reducible gauge model in a symplectic supermanifold M0 locally parameterized by antifields for Lagrangian multipliers and by the fields of the BV method. The quantization rules are based on a set of nilpotent anticommuting operators ΔM, VM, UM defined using some odd and even symplectic structures in a supersymplectic manifold M whose local representation is an odd (co)tangent bundle over M0 provided by the choice of a flat Fedosov connection and a compatible non-symplectic metric in M0. The generating functional of Green's functions is constructed in terms of general coordinates in M with the help of contracting homotopy operators with respect to VM and UM. We prove the gauge independence of the S-matrix and derive the Ward identity.