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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 |
| 年: | 2019 |
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| 期: | 7 |
| 页: | 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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