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

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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:	non-linear classical field theory synthetic differential geometry Cahiers topos Poisson algebras
Online Access:	https://eprints.nottingham.ac.uk/41000/

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