Poisson algebras for non-linear field theories in the Cahiers topos

We develop an approach to construct Poisson algebras for non-linear scalar field theories that is based on the Cahiers topos model for synthetic differential geometry. In this framework the solution space of the field equation carries a natural smooth structure and, following Zuckerman's ideas,...

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Bibliographic Details
Main Authors: Benini, Marco, Schenkel, Alexander
Format: Article
Published: Springer Verlag 2016
Subjects:
Online Access:https://eprints.nottingham.ac.uk/41000/