Reciprocity of gauge operators in N=4SYM

被引:13
作者
Beccaria, Matteo [1 ,2 ]
Forini, Valentina [3 ]
机构
[1] Univ Salento, Dipartimento Fis, Via Arnesano, I-73100 Lecce, Italy
[2] Ist Nazl Fis Nucl, Sezione Lecce, I-73100 Lecce, Italy
[3] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany
关键词
AdS-CFT correspondence; integrable field theories; Bethe Ansatz;
D O I
10.1088/1126-6708/2008/06/077
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
A recently discovered generalized Gribov-Lipatov reciprocity holds for the anomalous dimensions of various twist operators in N = 4 SYM. Here, we consider a class of scaling psu(2, 2 vertical bar 4) operators that reduce at one-loop to twist-3 maximal helicity gluonic operators. We extract from the asymptotic long-range Bethe Ansatz a closed expression for the spin dependent anomalous dimension at four loop order and provide a complete proof of reciprocity. We comment about the interplay with possible, yet unknown, wrapping corrections.
引用
收藏
页数:36
相关论文
共 96 条
[1]   On the strong coupling scaling dimension of high spin operators [J].
Alday, Luis F. ;
Arutyunov, Gleb ;
Eden, Burkhard ;
Benna, Marcus K. ;
Klebanov, Igor R. .
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (04)
[2]  
ALTARELLI G, 1982, PHYS REP, V81, P3
[3]   ASYMPTOTIC FREEDOM IN PARTON LANGUAGE [J].
ALTARELLI, G ;
PARISI, G .
NUCLEAR PHYSICS B, 1977, 126 (02) :298-318
[4]   Wrapping interactions and a new source of corrections to the spin-chain/string duality [J].
Ambjorn, J ;
Janik, RA ;
Kristjansen, C .
NUCLEAR PHYSICS B, 2006, 736 (03) :288-301
[5]   Bethe ansatz for quantum strings [J].
Arutyunov, G ;
Frolov, S ;
Staudacher, M .
JOURNAL OF HIGH ENERGY PHYSICS, 2004, (10) :295-315
[6]  
BAIER R, 1995, FUT PHYS HERA WORKSH
[7]  
BALITSKII YY, 1978, SOV J NUCL PHYS+, V28, P822
[8]   Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling [J].
Basso, B. ;
Korchemsky, G. P. ;
Kotanski, J. .
PHYSICAL REVIEW LETTERS, 2008, 100 (09)
[9]   Anomalous dimensions of high-spin operators beyond the leading order [J].
Basso, B. ;
Korchemsky, G. P. .
NUCLEAR PHYSICS B, 2007, 775 (1-2) :1-30
[10]   Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution [J].
Beccaria, A. ;
Dokshitzer, Yu. L. ;
Marchesini, G. .
PHYSICS LETTERS B, 2007, 652 (04) :194-202