Six and seven loop Konishi from Lüscher corrections

Zoltán Bajnok, Romuald A. Janik

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

In the present paper we derive six and seven loop formulas for the anomalous dimension of the Konishi operator in N=4 SYM from string theory using the technique of Lüscher corrections. We derive analytically the integrand using the worldsheet S-matrix and evaluate the resulting integral and infinite sum using a combination of high precision numerical integration and asymptotic expansion. We use this high precision numerical result to fit the integer coefficients of zeta values in the final analytical answer. The presented six and seven loop results can be used as a cross-check with FiNLIE on the string theory side, or with direct gauge theory computations. The seven loop level is the theoretical limit of this Lüscher approach as at eight loops double-wrapping corrections will appear.

Original languageEnglish
Article number002
JournalJournal of High Energy Physics
Volume2012
Issue number11
DOIs
Publication statusPublished - 2012

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string theory
numerical integration
integers
gauge theory
operators
expansion
coefficients
matrices

Keywords

  • AdS-CFT Correspondence
  • Integrable Field Theories
  • Supersymmetric gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Six and seven loop Konishi from Lüscher corrections. / Bajnok, Zoltán; Janik, Romuald A.

In: Journal of High Energy Physics, Vol. 2012, No. 11, 002, 2012.

Research output: Contribution to journalArticle

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