Histories and observables in covariant field theory

@article{Paugam2011HistoriesAO,
title={Histories and observables in covariant field theory},
author={Fr{\'e}d{\'e}ric Paugam},
journal={Journal of Geometry and Physics},
year={2011},
volume={61},
pages={1675-1702}
}
Abstract Motivated by DeWitt’s viewpoint of covariant field theory, we define a general notion of a non-local classical observable that applies to many physical Lagrangian systems (with bosonic and fermionic variables), by using methods that are now standard in algebraic geometry. We review the methods of local functional calculus, as they are presented by Beilinson and Drinfeld, and relate them to our construction. We partially explain the relation of these with Vinogradov’s secondary calculus… Expand
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