A Poisson Algebra for Abelian Yang-Mills Fields on Riemannian Manifolds with Boundary

2018/12/07 by Díaz-Marín, Homero G.
#35Q61 #58E15 #58Z05 #76W05 #81T13 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1812.02889

Abstract

We define a family of observables for abelian Yang-Mills fields associated to compact regions U ⊆ M with smooth boundary in Riemannian manifolds. Each observable is parametrized by a first variation of solutions and arises as the integration of gauge invariant conserved current along admissible hypersurfaces contained in the region. The Poisson bracket uses the integration of a canonical presymplectic current.

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