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Covariant Variational Evolution and Jacobi Brackets: Particles (2005.04872v1)

Published 11 May 2020 in math-ph, math.MP, and quant-ph

Abstract: The formulation of covariant brackets on the space of solutions to a variational problem is analyzed in the framework of contact geometry. It is argued that the Poisson algebra on the space of functionals on fields should be read as a Poisson subalgebra within an algebra of functions equipped with a Jacobi bracket on a suitable contact manifold.

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