SciPost Phys. 5, 018 (2018) ·
published 20 August 2018
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· pdf
In this work we consider colour-ordered correlation functions of the fields
in integrable planar gauge theories such as N=4 supersymmetric Yang-Mills
theory with the aim to establish Ward-Takahashi identities corresponding to
Yangian symmetries. To this end, we discuss the Yangian algebra relations and
discover a novel set of bi-local gauge symmetries for planar gauge theories. We
fix the gauge, introduce local and bi-local BRST symmetries and propose
Slavnov-Taylor identities corresponding to the various bi-local 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