Batalin-Vilkovisky formalism in the functional approach to classical field theory

Details Batalin-Vilkovisky formalism in the functional approach to classical field theory Batalin-Vilkovisky formalism in the functional approach to classical field theory

2011-01-26

arxiv.org/abs/1101.5112v5

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.

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