Stringing Spins and Spinning Strings

Details Stringing Spins and Spinning Strings Stringing Spins and Spinning Strings

2003-06-16

arxiv.org/abs/hep-th/0306139v2

JHEP 0309:010,2003

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 4 figures, LaTex; v2 reference added, typos fixed

Scientific paper

10.1088/1126-6708/2003/09/010

We apply recently developed integrable spin chain and dilatation operator techniques in order to compute the planar one-loop anomalous dimensions for certain operators containing a large number of scalar fields in N =4 Super Yang-Mills. The first set of operators, belonging to the SO(6) representations [J,L-2J,J], interpolate smoothly between the BMN case of two impurities (J=2) and the extreme case where the number of impurities equals half the total number of fields (J=L/2). The result for this particular [J,0,J] operator is smaller than the anomalous dimension derived by Frolov and Tseytlin [hep-th/0304255] for a semiclassical string configuration which is the dual of a gauge invariant operator in the same representation. We then identify a second set of operators which also belong to [J,L-2J,J] representations, but which do not have a BMN limit. In this case the anomalous dimension of the [J,0,J] operator does match the Frolov-Tseytlin prediction. We also show that the fluctuation spectra for this [J,0,J] operator is consistent with the string prediction.

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