Correlation functions, null polygonal Wilson loops, and local operators
Correlation functions, null polygonal Wilson loops, and local operators
复制标题
相关函数、空多边形 Wilson 环和局部运算符
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
T. Adamo
中科院分区：
文献类型：
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作者：
T. Adamo
在平面$$ \mathcal{N} = 4 $$超杨-米尔斯理论中，我们考虑了n + 1个局部算子的相关函数与前n个局部算子的相关函数之比，并考虑了前n个局部算子两两为零分离的极限。通过研究扭转空间中的问题，我们证明了这等价于一个n顶点零多边形威尔逊环的相关器，剩余算子在一般位置，由威尔逊环本身的期望值归一化，正如Alday， Buchbinder和Tseytlin最近推测的那样。Twistor方法也为这些相关器提供了类似bcfw的递归关系。最后，我们研究了n个算子与k个算子在一般位置上成对为零的自然扩展。作为一个例子，我们对k = 2时产生的相关器进行了分析，并讨论了在强耦合状态下完全固定相关器的一些困难。
A bstractWe consider the ratio of the correlation function of n + 1 local operators over the correlator of the first n of these operators in planar $$ \mathcal{N} = 4 $$ super-Yang-Mills theory, and consider the limit where the first n operators become pairwise null separated. By studying the problem in twistor space, we prove that this is equivalent to the correlator of a n-cusp null polygonal Wilson loop with the remaining operator in general position, normalized by the expectation value of the Wilson loop itself, as recently conjectured by Alday, Buchbinder and Tseytlin. Twistor methods also provide a BCFW-like recursion relation for such correlators. Finally, we study the natural extension where n operators become pairwise null separated with k operators in general position. As an example, we perform an analysis of the resulting correlator for k = 2 and discuss some of the difficulties associated to fixing the correlator completely in the strong coupling regime.
影响因子：
5.4
作者：
L. Mason;David Skinner
通讯作者：
L. Mason;David Skinner
影响因子：
5.4
作者：
L. Mason;David Skinner
通讯作者：
L. Mason;David Skinner