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  On All-loop Integrands of Scattering Amplitudes in Planar N=4 SYM

He, S., & McLoughlin, T. (2011). On All-loop Integrands of Scattering Amplitudes in Planar N=4 SYM. Journal of High Energy Physics, 2011(02): 116. doi:10.1007/JHEP02(2011)116.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-CE72-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-CE74-F
Genre: Journal Article

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1010.6256 (Preprint), 370KB
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 Creators:
He, Song1, Author              
McLoughlin, Tristan2, Author              
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:102878              
2Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24016              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We study the relationship between the momentum twistor MHV vertex expansion of planar amplitudes in N=4 super-Yang-Mills and the all-loop generalization of the BCFW recursion relations. We demonstrate explicitly in several examples that for tree-level amplitudes and loop integrands the MHV vertex expressions satisfy the recursion relations. Furthermore, we introduce a rewriting of the MHV expansion in terms of sums over non-crossing partitions and show that this cyclic invariant formula satisfies the recursion relations for all numbers of legs and all loop orders.

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 Dates: 2010-10-292011
 Publication Status: Published in print
 Pages: 34 pages, 17 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1010.6256
URI: http://arxiv.org/abs/1010.6256
DOI: 10.1007/JHEP02(2011)116
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Title: Journal of High Energy Physics
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2011 (02) Sequence Number: 116 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111021927548002_1