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arXiv · 1812.02889

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

Homero G. Díaz-Marín
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Abstract

We define a family of observables for abelian Yang-Mills fields associated to compact regions $U \subseteq M$ 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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Homero G. Díaz-Marín. 2018-12-07. A Poisson Algebra for Abelian Yang-Mills Fields on Riemannian Manifolds with Boundary. https://arxiv.org/abs/1812.02889

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