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  The asymptotic structure of electromagnetism in higher spacetime dimensions

Henneaux, M., & Troessaert, C. (2019). The asymptotic structure of electromagnetism in higher spacetime dimensions. Physical Review D, 99(12): 125006. doi:10.1103/PhysRevD.99.125006.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-3E22-2 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-D92E-6
Genre: Journal Article

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 Creators:
Henneaux, Marc, Author
Troessaert, Cedric1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We investigate the asymptotic structure of electromagnetism in Minkowski space in even and odd spacetime dimensions $\geq 4$. We focus on $d>4$ since the case $d=4$ has been studied previously at length. We first consider spatial infinity where we provide explicit boundary conditions that admit the known physical solutions and make the formalism well defined (finite symplectic structure and charges). Contrary to the situation found in $d=4$ dimensions, there is no need to impose parity conditions under the antipodal map on the leading order of the fields when $d>4$. There is, however, the same need to modify the standard bulk symplectic form by a boundary term at infinity involving a surface degree of freedom. This step makes the Lorentz boosts act canonically. Because of the absence of parity conditions, the theory is found to be invariant under two independent algebras of angle-dependent $u(1)$ transformations ($d>4$). We then integrate the equations of motion in order to find the behaviour of the fields near null infinity. We exhibit the radiative and Coulomb branches, characterized by different decays and parities. The analysis yields generalized matching conditions between the past of $\mathscr{I}^+$ and the future of $\mathscr{I} ^-$.

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 Dates: 2019-03-112019
 Publication Status: Published in print
 Pages: 46 pages
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 Rev. Method: -
 Identifiers: arXiv: 1903.04437
URI: http://arxiv.org/abs/1903.04437
DOI: 10.1103/PhysRevD.99.125006
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 99 (12) Sequence Number: 125006 Start / End Page: - Identifier: -