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Asymptotic symmetries of electromagnetism at spatial infinity

par Henneaux, Marc ;Troessaert, Cédric
Référence The journal of high energy physics (Online), 2018, 05, page (0-29), 137
Publication Publié, 2018-05-23

Article révisé par les pairs

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Résumé :

We analyse the asymptotic symmetries of Maxwell theory at spatial infinity through the Hamiltonian formalism. Precise, consistent boundary conditions are explicitly given and shown to be invariant under asymptotic angle-dependent u(1)-gauge transformations. These symmetries generically have non-vanishing charges. The algebra of the canonical generators of this infinite-dimensional symmetry with the Poincaré charges is computed. The treatment requires the addition of surface degrees of freedom at infinity and a modification of the standard symplectic form by surface terms. We extend the general formulation of well-defined generators and Hamiltonian vector fields to encompass such boundary modifications of the symplectic structure. Our study covers magnetic monopoles.