The Bethe-ansatz for N=4 super Yang-Mills -: art. no. 013

被引：0
|
作者：
Minahan, JA
Zarembo, K
机构：
[1] Dept Theoret Phys, SE-75108 Uppsala, Sweden
[2] ITEP, Moscow, Russia
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2003年 / 03期
关键词：
1/N expansion; Penrose limit and pp-wave background; Bethe Ansatz;
D O I：
暂无
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We derive the one loop mixing matrix for anomalous dimensions in N = 4 Super Yang-Mills. We show that this matrix can be identified with the hamiltonian of an integrable SO(6) spin chain with vector sites. We then use the Bethe ansatz to find a recipe for computing anomalous dimensions for a wide range of operators. We give exact results for BMN operators with two impurities and results up to and including first order 1/J corrections for BMN operators with many impurities. We then use a result of Reshetikhin's to find the exact one-loop anomalous dimension for an SO(6) singlet in the limit of large bare dimension. We also show that this last anomalous dimension is proportional to the square root of the string level in the weak coupling limit.
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页数：29
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