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arXiv 1107.2568hep-th
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Freyhult-Rej-Zieme扭转算符缠绕修正的大自旋展开

Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators

Matteo Beccaria, Guido Macorini, CarloAlberto Ratti

摘要:

平面N=4 SYM的sl(2)闭扇区中的扭算符用它们的自旋来刻画。反常尺寸对这个重要参数的明确依赖性是一个有趣的信息来源。包裹修正是计算的一个重要部分,并在对整个理论有效的物理贝特修正框架内进行控制,并在该部门进行彻底检查。对于所谓的3-胶子算子,最近已经完成了对sl(2)以外的更一般的扭曲算子的扩展,3-胶子算子是Freyhult,Rej和Zieme引入的广义扭曲算子的一种特殊情况。这样的算符是自旋弦结构的对偶,在AdS_5中有两个自旋S1,S2,在S^5中有电荷。我们计算了弱耦合首阶缠绕修正在规范理论极限对偶中对大S1和固定S2的展开。我们提出了一个简单的算法的计算,并提供明确的结果说明了一般结构的扩展。

英文摘要:

Twist operators in the closed sl(2) sector of planar N=4 SYM are characterized by their spin. The explicit dependence of anomalous dimensions on this important parameter is a source of interesting information. Wrapping corrections are a non trivial part of the calculation and are under control in the framework of thermodynamical Bethe Ansatz valid for the full theory and thoroughly checked in that sector. The extension to more general twist operators beyond sl(2) has been recently accomplished for the so-called 3-gluon operators that are a special case of the generalized twist operators introduced by Freyhult, Rej and Zieme. Such operators are dual to spinning strings configurations with two spins S1, S2 in AdS_5 and charge in S^5. We compute the expansion of the weak-coupling leading order wrapping correction in the gauge theory limit dual to large S1 and fixed S2. We present a simple algorithm for the calculation and provide explicit results illustrating the general structure of the expansion.

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