Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
High Energy Physics - Theory
2009-11-13 v4
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 Luscher formulas adapted to multimagnon states at weak coupling. We obtain these multiparticle generalizations of Luscher 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.
Keywords
Cite
@article{arxiv.0807.0399,
title = {Four-loop perturbative Konishi from strings and finite size effects for multiparticle states},
author = {Zoltan Bajnok and Romuald A. Janik},
journal= {arXiv preprint arXiv:0807.0399},
year = {2009}
}
Comments
37 pages; v2: references added, added comparison with corrected perturbative results, v3: mismatched conventions in appendices fixed, no changes in the main text; v4: ref. added, typos corrected