论文

论文

On interpolating anomalous dimension of twist-two operators with general spins
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论文题目: On interpolating anomalous dimension of twist-two operators with general spins
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作者: Banerjee, Aritra; Chowdhury, Abhishek; Thakur, Somyadip; Yang, Gang
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刊物名称: JOURNAL OF HIGH ENERGY PHYSICS
: 2019
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: 7
: 86
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摘要: We study non-perturbative interpolating functions to probe the physics of anomalous dimensions associated with twist-two operators in N=4 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 Pade approximants and its generalizations. For the finite N case, N=4 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.
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