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  Graphs, determinants and gravity amplitudes

Feng, B., & He, S. (2012). Graphs, determinants and gravity amplitudes. Journal of high energy physics: JHEP, 2012(10): 121. doi:10.1007/JHEP10(2012)121.

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1207.3220 (Preprint), 256KB
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 Creators:
Feng, Bo, Author
He, Song1, Author           
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_102878              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We apply the matrix-tree theorem to establish a link between various diagrammatic and determinant expressions, which naturally appear in scattering amplitudes of gravity theories. Using this link we are able to give a general graph-theoretical formulation for the tree-level maximally-helicity-violated gravity amplitudes. Furthermore, we use the link to prove two identities for half-soft functions of gravity amplitudes. Finally we recast the diagrammatic formulation of one-loop rational part of $\mathcal{N}=4$ supergravity into a matrix form.

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 Dates: 2012-07-132012
 Publication Status: Issued
 Pages: 19 pages, 3 figures
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1207.3220
DOI: 10.1007/JHEP10(2012)121
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2012 (10) Sequence Number: 121 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002