4.4 Article

An exact formula for the radiation of a moving quark in N=4 super Yang Mills

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP06(2012)048

Keywords

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

Funding

  1. U.S. Department of Energy [DE-FG02-90ER40542]
  2. Government of Canada through NSERC
  3. Province of Ontario through MRI
  4. Province of Ontario through ERA [ER 06-02-293]
  5. CONICET-Fulbright fellowship
  6. grant PICT [2010-0724]

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We derive an exact formula for the cusp anomalous dimension at small angles. This is done by relating the latter to the computation of certain 1/8 BPS Wilson loops which was performed by supersymmetric localization. This function of the coupling also determines the power emitted by a moving quark in N = 4 super Yang Mills, as well as the coefficient of the two point function of the displacement operator on the Wilson loop. By a similar method we compute the near BPS expansion of the generalized cusp anomalous dimension.

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