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Yangian Algebra and Correlation Functions in Planar Gauge Theories
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Yangian Algebra and Correlation Functions in Planar Gauge Theories
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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.
Forward citations
Cited by 3 Pith papers
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Yangian Symmetry Escapes from the Fishnet
Yangian symmetry holds classically in fishnet models under restricted evaluation parameters but does not extend to generic quantum correlators in the bi-scalar model, with counterexamples indicating that non-zero dual...
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Yangian Symmetry Escapes from the Fishnet
Yangian symmetry is realized classically in fishnet models under restricted parameter choices but does not extend to generic quantum correlators, indicating an obstacle from non-zero dual Coxeter number.
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