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Название: Hamiltonian form of the path integral for theories with a gauge freedom
Автор: Henneaux M.
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 Becchi-Rouet-Stora 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 multi-ghost 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 anti-symmetric gauge fields fall. Here again, the BRS transformation plays a key role.