Skip to main content

Research Repository

Advanced Search

Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality in N=4 Supersymmetric Yang-Mills Theory

Bourjaily, Jacob L.; Heslop, Paul; Tran, Vuong-Viet

Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality in N=4 Supersymmetric Yang-Mills Theory Thumbnail


Authors

Jacob L. Bourjaily

Vuong-Viet Tran



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.

Citation

Bourjaily, J. L., Heslop, P., & Tran, V. (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), Article 191602. https://doi.org/10.1103/physrevlett.116.191602

Journal Article Type Article
Acceptance Date Jan 20, 2016
Online Publication Date May 11, 2016
Publication Date May 11, 2016
Deposit Date Feb 2, 2016
Publicly Available Date Jul 28, 2016
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 116
Issue 19
Article Number 191602
DOI https://doi.org/10.1103/physrevlett.116.191602
Related Public URLs http://arxiv.org/abs/arXiv:1512.07912

Files

Published Journal Article (206 Kb)
PDF

Copyright 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.





You might also like



Downloadable Citations