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Perturbation theory at eight loops : novel structures and the breakdown of manifest conformality in N=4 supersymmetric Yang-Mills theory.

Bourjaily, Jacob L. and Heslop, Paul and Tran, Vuong-Viet (2016) 'Perturbation theory at eight loops : novel structures and the breakdown of manifest conformality in N=4 supersymmetric Yang-Mills theory.', Physical review letters., 116 (19). p. 191602.

Abstract

We use the soft-collinear bootstrap to construct the 8-loop integrand for the 4-point amplitude and 4-stress-tensor correlation function in planar maximally supersymmetric Yang-Mills theory. Both have a unique representation in terms of planar, conformal integrands grouped according to a hidden symmetry discovered for correlation functions. The answer we find exposes a fundamental tension between manifest locality and planarity with manifest conformality not seen at lower loops. For the first time, the integrand must include terms that are finite even on-shell and terms that are divergent even off-shell (so-called pseudoconformal integrals). We describe these novelties and their consequences in this Letter, and we make the full correlator and amplitude available as part of the Supplemental Material.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1103/PhysRevLett.116.191602
Publisher statement:Reprinted with permission from the American Physical Society: Physical Review Letters 116, 191602 © (2016) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:20 January 2016
Date deposited:28 July 2016
Date of first online publication:11 May 2016
Date first made open access:28 July 2016

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