Abstract

where A is the potential field (connection one form) and 1 is the ghost field. We show how these BRS transformations can be interpreted as purely differential geometric objects. We define a general BRS cohomology H q, p of the infinite dimensional Lie algebra g of infinitesimal gauge transformations with respect to an induced representation. As a special case, namely with respect to the adjoint representation, we obtain the classical BRS transformations as coboundary operator

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