The Batalin, Fradkin, and Vilkovisky formalism for higher-order theories

DOI10.1063/1.527679zbMath0625.58034OpenAlexW2047791488MaRDI QIDQ3027960

A. D. Browning, David McMullan

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527679

zbMATH Keywords

gravityHamiltonian formalismsupergravityLie algebra cohomologygauge groupLie algebra action

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Constructive quantum field theory (81T08) Cohomology of Lie (super)algebras (17B56)

Related Items

Systèmes dynamiques contraints: l'approche homologique. (Constraint dynamical systems: homological approach), Homological algebra and Yang-Mills theory, Algebraic structure of the BRST symmetry, BV equivalence with boundary, Duality theorems in BRST cohomology, Constrained Poisson algebras and strong homotopy representations, Covariant factor ordering of gauge systems using ghost variables. I. Constraint rescaling, Covariant factor ordering of gauge systems using ghost variables. II. States and observables, Classical states and the BRST charge, The role of antifields in BRST theory, Geometric quantization of the BRST charge, Homological perturbation theory and the algebraic structure of the antifield-antibracket formalism for gauge theories, \(L_{\infty}\) in physics and in Georgia, The extended phase space of the BRS approach, Local BRST cohomology in gauge theories, Quantization and bosonic BRST theory

Cites Work

• Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations
• Yang–Mills theory and the Batalin–Fradkin–Vilkovisky formalism