Duality between constraints and gauge conditions

Abstract

It is shown that in the first order gauge theories under some general assumptions gauge conditions can play the role of new local symmetry generators, while the original constraints become gauge fixing terms. It is possible to associate with this new symmetry a second BRST charge and its anticommutator with the original BRST charge is the Hodge operator of the corresponding cohomology complex.

7 pages, LaTeX, some changes in the BRST section

References in corpus (2)

• Canonical approach to Lagrange multipliers
• Note on the structure of constraint algebras

Cited by in corpus (2)

• On the structure of the constraint algebra for systems whose gauge transformations depend on higher order time derivatives of the gauge parameters
• Instanton representation of Plebanski gravity. Application to Bianchi Type A metrics