Strong coupling for planar N=4 SYM theory: An all-order result

被引:37
作者
Fioravanti, Davide [1 ]
Grinza, Paolo [2 ]
Rossi, Marco [3 ]
机构
[1] Univ Bologna, Dipartimento Fis, Sez INFN Bologna, Bologna, Italy
[2] Univ Santiago de Compostela, IGFAE, Dept Fis Particulas, E-15782 Santiago De Compostela, Spain
[3] Univ Calabria, Dipartimento Fis, I-87036 Cosenza, Italy
关键词
Integrability; Infinite conserved charges; Bethe Ansatz equations; Counting function; AdS-CFT correspondence; TWIST-3; OPERATORS; GAUGE-THEORY; SINE-GORDON; RENORMALIZATION; EQUATION;
D O I
10.1016/j.nuclphysb.2008.10.018
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We propose a scheme for determining a generalised scaling function, namely the Sudakov factor in a peculiar double scaling limit for high spin and large twist operators belonging to the sl(2) sector of planar N = 4 SYM. In particular. we perform explicitly the all-order computation at strong 't Hooft coupling regarding the first (contribution to the) generalised scaling function. Moreover, we compare Our asymptotic results with the numerical solutions finding a very good agreement and evaluate numerically the non-asymptotic contributions. Eventually, we illustrate the agreement and prediction on the string, side. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:563 / 574
页数:12
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