The cusp anomalous dimension at three loops and beyond

Diego Correa; Johannes Henn; Juan Maldacena; Amit Sever

doi:10.1007/JHEP05(2012)098

The cusp anomalous dimension at three loops and beyond

Diego Correa, Johannes Henn, Juan Maldacena, Amit Sever

Research output: Contribution to journal › Article › peer-review

Abstract

We derive an analytic formula at three loops for the cusp anomalous dimension Γ_cusp(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.

Original language	English
Article number	98
Journal	Journal of High Energy Physics
Volume	2012
Issue number	5
DOIs	https://doi.org/10.1007/JHEP05(2012)098
State	Published - 2012
Externally published	Yes

Keywords

't Hooft and Polyakov loops
1/N Expansion
AdS-CFT Correspondence
Scattering Amplitudes
Wilson

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1007/JHEP05(2012)098

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title = "The cusp anomalous dimension at three loops and beyond",

abstract = "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.",

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doi = "10.1007/JHEP05(2012)098",

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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

M3 - مقالة

SN - 1126-6708

VL - 2012

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

M1 - 98

ER -

The cusp anomalous dimension at three loops and beyond

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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