On interpolating anomalous dimension of twist-two operators with general spins

doi:10.1007/JHEP07(2019)086

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	On interpolating anomalous dimension of twist-two operators with general spins
	Banerjee, Aritra ; Chowdhury, Abhishek 1; Thakur, Somyadip ; Yang, Gang
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2019
期号	7 页码:86
关键词	LARGE-N LIMIT N=4 SYM WILSON OPERATORS NON-RENORMALIZATION PRODUCT EXPANSION 4-POINT FUNCTIONS ASYMPTOTICS QCD OPE
ISSN号	1029-8479
DOI	10.1007/JHEP07(2019)086
英文摘要	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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27047]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.TU Wien, Inst Theoret Phys, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria
推荐引用方式 GB/T 7714	Banerjee, Aritra,Chowdhury, Abhishek,Thakur, Somyadip,et al. On interpolating anomalous dimension of twist-two operators with general spins[J]. JOURNAL OF HIGH ENERGY PHYSICS,2019(7):86.
APA	Banerjee, Aritra,Chowdhury, Abhishek,Thakur, Somyadip,&Yang, Gang.(2019).On interpolating anomalous dimension of twist-two operators with general spins.JOURNAL OF HIGH ENERGY PHYSICS(7),86.
MLA	Banerjee, Aritra,et al."On interpolating anomalous dimension of twist-two operators with general spins".JOURNAL OF HIGH ENERGY PHYSICS .7(2019):86.