论文编号: |
|
第一作者所在部门: |
|
论文题目: |
On interpolating anomalous dimension of twist-two operators with general spins |
论文题目英文: |
|
作者: |
Banerjee, Aritra; Chowdhury, Abhishek; Thakur, Somyadip; Yang, Gang |
论文出处: |
|
刊物名称: |
JOURNAL OF HIGH ENERGY PHYSICS |
年: |
2019 |
卷: |
|
期: |
7 |
页: |
86 |
联系作者: |
|
收录类别: |
|
影响因子: |
|
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. |
英文摘要: |
|
外单位作者单位: |
|
备注: |
|