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Journal Article

Graphs, determinants and gravity amplitudes

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons2717

He,  Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1207.3220
(Preprint), 256KB

JHEP2012_10_121.pdf
(Any fulltext), 412KB

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Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-D24A-6
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.