Five-loop anomalous dimension of twist-two operators

By Tomasz Lukowski, A. Rej, V. Velizhanin. 2009

157 citations recorded by the source corpus.

Abstract In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar N = 4 SYM theory. Firstly, using reciprocity, we derive the contribution of the asymptotic Bethe ansatz. Subsequently, we employ the first finite-size correction for the AdS 5 × S 5 sigma model to determine the wrapping correction. The anomalous dimension found in this way passes all known tests provided by the NLO BFKL equation and double-logarithmic constraints. This result thus furnishes an infinite number of experimental data for testing the veracity of the recently proposed spectral equations for planar AdS/CFT correspondence.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d3505af55462ffd53fdde6dd4092390b7d95747d

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In Geometry and Topology

  1. V. Gonçalves
  2. J. Penedones
  3. M. Costa
  4. David Simmons-Duffin
  5. S. Rychkov
  6. David Poland
  7. Jared Kaplan
  8. A. Fitzpatrick

In Nuclear and High Energy Physics

  1. V. Gonçalves
  2. M. Costa
  3. J. Penedones
  4. David Simmons-Duffin
  5. C. Sleight
  6. Eric Perlmutter
  7. David Poland
  8. S. Rychkov

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