Four-loop perturbative Konishi from strings and finite size effects for multiparticle states

Zoltan Bajnok, Romuald A. Janik

Research output: Contribution to journalArticle

182 Citations (Scopus)

Abstract

We derive the perturbative four loop anomalous dimension of the Konishi operator in N = 4 SYM theory from the integrable string sigma model by evaluating the finite size effects using Lüscher formulas adapted to multimagnon states at weak coupling. We obtain these multiparticle generalizations of Lüscher formulas by studying certain exactly solvable relativistic integrable quantum field theories. The final result involves a summation of all bound states in the mirror theory and agrees with gauge theory perturbative computations.

Original languageEnglish
Pages (from-to)625-650
Number of pages26
JournalNuclear Physics B
Volume807
Issue number3
DOIs
Publication statusPublished - Feb 1 2009

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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