Journal Article PUBDB-2024-01994

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Multipole expansion at the level of the action in d-dimensions

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2024
American Physical Society Ridge, NY

Physical review / D 109(10), 104027 () [10.1103/PhysRevD.109.104027]
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Report No.: DESY-23-200; arXiv:2312.02868

Abstract: In this paper we study the multipole expansion of the long-wavelength effective action for radiative sources in (d+1) spacetime dimensions. We present detailed expressions for the multipole moments for the case of scalar-, electromagnetic-, and (linearized) gravitational-wave emission. For electromagnetism and gravity, we derive expressions for the odd-parity, magnetic-type moments as SO(d) duals of the ones traditionally used in the literature. The d-dimensional case features a novel set of “Weyl-type” moments, coupling to the spatial part of the Weyl tensor, which are absent in three dimensions. Agreement is found in the overlap with previous known results, notably in the d→3 limit. Because of its reliance on dimensional regularization, the results presented here play a crucial role for the further development of the effective field theory approach to gravitational dynamics, and in particular for the computation of the gravitational-wave flux, starting at the third post-Newtonian order.

Keyword(s): expansion: multipole ; tensor: Weyl ; space-time: dimension ; dimension: 3 ; regularization: dimensional ; gravitational radiation: flux ; gravitational radiation: emission ; gravitation ; effective field theory ; duality ; overlap ; effective action ; any-dimensional ; moment: multipole ; radiation: electromagnetic ; radiation: scalar ; approximation: linear ; parity ; magnetic moment ; SO(N) ; asymptotic behavior

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Contributing Institute(s):
  1. Theoretische Astroteilchenphysik (Z_THAT)
Research Program(s):
  1. 613 - Matter and Radiation from the Universe (POF4-613) (POF4-613)
  2. LHCtoLISA - Precision Gravity: From the LHC to LISA (817791) (817791)
Experiment(s):
  1. No specific instrument

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Multipole expansion at the level of the action in d-dimensions
[10.3204/PUBDB-2023-07357]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2024-06-04, last modified 2025-07-15


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