The cusp anomalous dimension at three loops and beyond

被引:89
作者
Correa, Diego [1 ]
Henn, Johannes [2 ]
Maldacena, Juan [2 ]
Sever, Amit [2 ,3 ]
机构
[1] Univ Nacl La Plata, Inst Fis La Plata, RA-1900 La Plata, Argentina
[2] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA
[3] Perimeter Inst Theoret Phys, Waterloo, ON N2J 2W9, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Wilson; 't Hooft and Polyakov loops; Scattering Amplitudes; AdS-CFT Correspondence; 1/N Expansion; WILSON LOOPS; RENORMALIZATION; ASYMPTOTICS;
D O I
10.1007/JHEP05(2012)098
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 derive an analytic formula at three loops for the cusp anomalous dimension Gamma(cusp)(phi) in N = 4 super Yang-Mills. This is done by exploiting the relation of the latter to the Regge limit of massive amplitudes. We comment on the corresponding three loops quark anti-quark potential. Our result also determines a considerable part of the three-loop cusp anomalous dimension in QCD. Finally, we consider a limit in which only ladder diagrams contribute to physical observables. In that limit, a precise agreement with strong coupling is observed.
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页数:30
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