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Title: | On interpolating anomalous dimension of twist-two operators with general spins |
Authors: | Banerjee, Aritra |
Keywords: | Physics Interpolating functions |
Issue Date: | Jul-2019 |
Publisher: | Springer |
Abstract: | We study non-perturbative interpolating functions to probe the physics of anomalous dimensions associated with twist-two operators in SYM of finite and infinite spin. Compared to previous studies, the novel result of this paper is to introduce single multivariate functions of both coupling g and spin j to approximate such anomalous dimensions. We provide a unified framework to study such operators in interim ranges of the parameters which so far has eluded previous results. Explicitly, we consider twist-two anomalous dimensions in two distinct scenarios using interpolating functions. For the large N case, we stick to simple Padé approximants and its generalizations. For the finite N case, SYM is expected to be S-dual invariant, hence the observables are expected be modular invariant. To probe the finite N physics, we take into account the non-planar and instanton contributions by constructing modular invariant interpolating functions to approximate the cusp and twist-two anomalous dimensions. We also consider interpolating functions for the twist-four operators and study level crossing phenomenon between the twist-two and twist-four operators. |
URI: | https://link.springer.com/article/10.1007/JHEP07(2019)086 http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/15315 |
Appears in Collections: | Department of Physics |
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