2008/07/31 by Zoltan Bajnok, Romuald A. Janik · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2008.08.020
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
arxiv created 2008/08/20 · arxiv updated 2009/12/01
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.