The Hamiltonian form of the path integral for theories with a gauge freedom is reviewed along the lines developed by Batalin, Fradkin and Vilkovisky. The formalism, which can be applied to gauge theories with an open algebra without the need for auxiliary fields, heavily relies on the canonical formulation of the BecchiRouetStora transformation. This transformation appears here as a purely classical object associated with the remarkable classical structure of (first class) constrained Hamiltonian systems. The occurrence of multighost interactions in the effective quantum action is naturally predicted. The formalism is also extended to "reducible" gauge theories, i.e., theories whose gauge transformations are not independent, within which scope the recently studied antisymmetric gauge fields fall. Here again, the BRS transformation plays a key role.

Authors: Henneaux M.  Pages: 66 Year: 1984 
Tags: hamiltonian henneaux integral theories freedom   Customers who bought this item also bought: 