Stringing Spins and Spinning Strings
Stringing Spins and Spinning Strings
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拉弦旋转和旋转弦
DOI：
10.1088/1126-6708/2003/09/010
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发表时间：
2003
影响因子：
5.4
通讯作者：
K. Zarembo
中科院分区：
文献类型：
--
作者：
N. Beisert;J. Minahan;M. Staudacher;K. Zarembo
我们应用最近发展的可积自旋链和伸缩算子技术，以计算平面单圈反常维数的某些运营商包含大量的标量场在N = 4超级杨米尔斯。第一组算子属于SO（6）表示[J，L2 J，J]，在两个杂质的BMN情况（J = 2）和杂质数等于总场数一半的极端情况（J = L/2）之间平滑地插值。这个特殊的[J，0，J]算符的结果小于Frolov和Tseytlin [hep-th/0304255]对半经典弦组态导出的反常维数，半经典弦组态是规范不变算符在同一表示中的对偶。然后，我们确定第二组运营商也属于[J，L 2 J，J]表示，但没有BMN限制。在这种情况下，[J，0，J]算子的反常维数确实与Frolov-Tseytlin预测相匹配。我们还证明了[J，0，J]算符的涨落谱与弦的预言是一致的。
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.