Poisson algebras for non-linear field theories in the Cahiers topos
(2016)
Journal Article
Benini, M., & Schenkel, A. (2017). Poisson algebras for non-linear field theories in the Cahiers topos. Annales Henri Poincaré, 18(4), 1435-1464. https://doi.org/10.1007/s00023-016-0533-2
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 smoot... Read More about Poisson algebras for non-linear field theories in the Cahiers topos.