Chicherin, Dmitry and Doobary, Reza and Eden, Burkhard and Heslop, Paul and Korchemsky, Gregory P. and Sokatchev, Emery (2016) 'Bootstrapping correlation functions in N = 4 SYM.', Journal of high energy physics., 2016 (3). 031.
We describe a new approach to computing the chiral part of correlation functions of stress-tensor supermultiplets in N=4N=4 SYM that relies on symmetries, analytic properties and the structure of the OPE only. We demonstrate that the correlation functions are given by a linear combination of chiral N=4N=4 superconformal invariants accompanied by coefficient functions depending on the space-time coordinates only. We present the explicit construction of these invariants and show that the six-point correlation function is fixed in the Born approximation up to four constant coefficients by its symmetries. In addition, the known asymptotic structure of the correlation function in the light-like limit fixes unambiguously these coefficients up to an overall normalization. We demonstrate that the same approach can be applied to obtain a representation for the six-point NMHV amplitude that is free from any auxiliary gauge fixing parameters, does not involve spurious poles and manifests half of the dual superconformal symmetry.
|Full text:||(VoR) Version of Record|
Available under License - Creative Commons Attribution.
Download PDF (589Kb)
|Publisher Web site:||http://dx.doi.org/10.1007/JHEP03(2016)031|
|Publisher statement:||Open Access, © The Authors 2016. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.|
|Date accepted:||13 February 2016|
|Date deposited:||16 June 2016|
|Date of first online publication:||07 March 2016|
|Date first made open access:||16 June 2016|
Save or Share this output
|Look up in GoogleScholar|