QCD-like properties of anomalous dimensions in the~$\mathcal N=4$ supersymmetric Yang--Mills theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 3, pp. 353-363
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We show how closed formulas for the anomalous dimensions of two classes of operators in the $\mathcal N=4$ supersymmetric Yang–Mills theory can be derived either based on numerical investigation or based on QCD-inspired assumptions. We consider the case of twist-$3$ "gauge" operators for which we completely prove the reciprocity.
Keywords:
integrable quantum field theory, Bethe ansatz.
@article{TMF_2009_159_3_a2,
author = {M. Beccaria and V. Forini},
title = {QCD-like properties of anomalous dimensions in the~$\mathcal N=4$ supersymmetric {Yang--Mills} theory},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {353--363},
publisher = {mathdoc},
volume = {159},
number = {3},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a2/}
}
TY - JOUR AU - M. Beccaria AU - V. Forini TI - QCD-like properties of anomalous dimensions in the~$\mathcal N=4$ supersymmetric Yang--Mills theory JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2009 SP - 353 EP - 363 VL - 159 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a2/ LA - ru ID - TMF_2009_159_3_a2 ER -
%0 Journal Article %A M. Beccaria %A V. Forini %T QCD-like properties of anomalous dimensions in the~$\mathcal N=4$ supersymmetric Yang--Mills theory %J Teoretičeskaâ i matematičeskaâ fizika %D 2009 %P 353-363 %V 159 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a2/ %G ru %F TMF_2009_159_3_a2
M. Beccaria; V. Forini. QCD-like properties of anomalous dimensions in the~$\mathcal N=4$ supersymmetric Yang--Mills theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 3, pp. 353-363. http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a2/