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arXiv 1105.3577hep-th
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N=4 SYM中sl(2)子扇区之外的包裹校正、互易性和BFKL

Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM

Matteo Beccaria, Guido Macorini, CarloAlberto Ratti

摘要:

我们考虑N=4 SYM和一类自旋N,长度为3,扭曲算子超出了研究得很好的sl(2)子扇区。它们可以用三个胶子算符在单圈上识别。在强耦合时,它们与AdS 5中具有两个自旋的自旋弦相关联。我们利用Y系统计算了主导弱耦合四圈缠绕修正对它们的反常维数。结果以闭合形式写成自旋N的函数。我们结合包裹校正与已知的四圈渐近Bethe Answer贡献,并分析特殊限制的自旋N。特别是,在大N,我们证明了广义Gribov-Lipatov互惠持有。在负非物理自旋下,我们提出了一个简单的BFKL方程来预测最右边的导极。

英文摘要:

We consider N=4 SYM and a class of spin N, length-3, twist operators beyond the well studied sl(2) subsector. They can be identified at one-loop with three gluon operators. At strong coupling, they are associated with spinning strings with two spins in AdS5. We exploit the Y-system to compute the leading weak-coupling four loop wrapping correction to their anomalous dimension. The result is written in closed form as a function of the spin N. We combine the wrapping correction with the known four-loop asymptotic Bethe Ansatz contribution and analyze special limits in the spin N. In particular, at large N, we prove that a generalized Gribov-Lipatov reciprocity holds. At negative unphysical spin, we present a simple BFKL-like equation predicting the rightmost leading poles.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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