Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
Name
Freedman JHP 6.pdf
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795.89 KB
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Checksum (MD5)
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Author(s)
Elvang, Henriette
Freedman, Daniel Z.
Kiermaier, Michael
Date Issued
June 2009
Journal
Journal of High Energy Physics
Publisher
Institute of Physics for SISSA
Citation
Elvang, Henriette, Daniel Z. Freedman, and Michael Kiermaier. "Proof of the MHV vertex expansion for all tree amplitudes in Script N = 4 SYM theory." Journal of High Energy Physics, IOP Press, June 2009.
Version
Author's final manuscript
Abstract
We prove the MHV vertex expansion for all tree amplitudes of Script N = 4 SYM theory. The proof uses a shift acting on all external momenta, and we show that every NkMHV tree amplitude falls off as 1/zk, or faster, for large z under this shift. The MHV vertex expansion allows us to derive compact and efficient generating functions for all NkMHV tree amplitudes of the theory. We also derive an improved form of the anti-NMHV generating function. The proof leads to a curious set of sum rules for the diagrams of the MHV vertex expansion.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1088/1126-6708/2009/06/068
