Physics – Mathematical Physics
Scientific paper
2011-01-26
Physics
Mathematical Physics
42 pages, improved formulation, typos corrected
Scientific paper
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.
Fredenhagen Klaus
Rejzner Katarzyna
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