Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-26
JHEP 0410:053,2004
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 26 pages, 1 figure;v2 misprints corrected; v3 misprints corrected, ref. added
Scientific paper
10.1088/1126-6708/2004/10/053
We consider the case of coherent gauge invariant operators in the SU(3) and SO(4) sectors. We argue that in many cases, these sectors can be closed in the thermodynamic limit, even at higher loops. We then use a modification of the Bethe equations which is a natural generalization of a proposal put forward by Serban and Staudacher to make gauge theory predictions for the anomalous dimensions for a certain class of operators in each sector. We show that the predictions are consistent with semiclassical string predictions at two loops but in general fail to agree at three loops. Interestingly, in both cases there is one point in the configuration space where the gauge theory and string theory predictions agree. In the SU(3) case it corresponds to a circular string with R-charge assignment (J,J,J).
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