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

K. Fredenhagen, K. Rejzner

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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.
Original languageEnglish
Pages (from-to)93-127
Number of pages35
JournalCommunications in Mathematical Physics
Issue number1
Publication statusPublished - 1 Jul 2012

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