SciPost Phys. 5, 018 (2018) ·
published 20 August 2018

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In this work we consider colourordered correlation functions of the fields
in integrable planar gauge theories such as N=4 supersymmetric YangMills
theory with the aim to establish WardTakahashi identities corresponding to
Yangian symmetries. To this end, we discuss the Yangian algebra relations and
discover a novel set of bilocal gauge symmetries for planar gauge theories. We
fix the gauge, introduce local and bilocal BRST symmetries and propose
SlavnovTaylor identities corresponding to the various bilocal symmetries. We
then verify the validity of these identities for several correlation functions
at tree and loop level. Finally, we comment on the possibility of quantum
anomalies for Yangian symmetry.
Prof. Beisert: "We thank the referee for the u..."
in Report on Yangian Algebra and Correlation Functions in Planar Gauge Theories