On interpolating anomalous dimension of twist-two operators with general spins
文献类型：期刊论文
| 作者 | Banerjee, Aritra; Chowdhury, Abhishek1; Thakur, Somyadip; Yang, Gang
|
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 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 |
| 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. |
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来源：理论物理研究所
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