1992/11/21 by I. A. Batalin, I. A. BATALIN, I. V. Tyutin +1 · 4 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.1142/s0217751x93000928
published as Int.J.Mod.Phys.A8:2333-2350,1993
arxiv created 1992/11/21 · openalex publication_date 1993/05/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A generalized version is proposed for the field–antifield formalism. The antibracket operation is defined in arbitrary field–antifield coordinates. The antisymmetric definitions are given for first- and second-class constraints. In the case of second-class constraints the Dirac's antibracket operation is defined. The quantum master equation as well as the hypergauge fixing procedure are formulated in a coordinate–invariant way. The general hypergauge functions are shown to be antisymmetric first–class constraints whose Jacobian matrix determinant is constant on the constraint surface. The BRST-type generalized transformations are defined and the functional integral is shown to be independent of the hypergauge variations admitted. In the case of reduced phase space the Dirac's antibrackets are used instead of the ordinary ones.