TY - JOUR
T1 - The cusp anomalous dimension at three loops and beyond
AU - Correa, Diego
AU - Henn, Johannes
AU - Maldacena, Juan
AU - Sever, Amit
PY - 2012
Y1 - 2012
N2 - We derive an analytic formula at three loops for the cusp anomalous dimension Γcusp(φ) 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.
AB - We derive an analytic formula at three loops for the cusp anomalous dimension Γcusp(φ) 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.
KW - 't Hooft and Polyakov loops
KW - 1/N Expansion
KW - AdS-CFT Correspondence
KW - Scattering Amplitudes
KW - Wilson
UR - http://www.scopus.com/inward/record.url?scp=84861837938&partnerID=8YFLogxK
U2 - 10.1007/JHEP05(2012)098
DO - 10.1007/JHEP05(2012)098
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AN - SCOPUS:84861837938
SN - 1126-6708
VL - 2012
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 5
M1 - 98
ER -