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Batalin-Vilkovisky Formalism in the Functional Approach to Classical Field Theory

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JournalCOMMUNICATIONS IN MATHEMATICAL PHYSICS
DatePublished - 1 Jul 2012
Issue number1
Volume314
Number of pages35
Pages (from-to)93-127
Original languageEnglish

Abstract

We develop the Batalin-Vilkovisky formalism for classical field theory on generic globally hyperbolic spacetimes. A crucial aspect of our treatment is the incorporation of the principle of local covariance which amounts to formulate the theory without reference to a distinguished spacetime. In particular, this allows a homological construction of the Poisson algebra of observables in classical gravity. Our methods heavily rely on the differential geometry of configuration spaces of classical fields.

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