On 1/N diagrammatics in the SYK model beyond the conformal limit

In the present work we discuss aspects of the 1/N expansion in the SYK model, formulated in terms of the semiclassical expansion of the bilocal field path integral. We derive cutting rules, which are applicable for all planar vertices in the bilocal field diagrams. We show that these cutting rules l...

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Bibliographic Details
Published in:arXiv.org 2018-11
Main Authors: Aref'eva, Irina, Khramtsov, Mikhail, Tikhanovskaya, Maria
Format: Article
Language:English
Subjects:
Apexes
Correlators
Cutting parameters
Online Access:Get full text
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Summary:In the present work we discuss aspects of the 1/N expansion in the SYK model, formulated in terms of the semiclassical expansion of the bilocal field path integral. We derive cutting rules, which are applicable for all planar vertices in the bilocal field diagrams. We show that these cutting rules lead to novel identities on higher-point correlators, which could be used to constrain their form beyond the solvable conformal limit. We also demonstrate how the cutting rules can simplify the computation of amplitudes on an example of the six-point function.
ISSN:2331-8422
DOI:10.48550/arxiv.1811.04837