Correlation function of null polygonal Wilson loops with local operators
Correlation function of null polygonal Wilson loops with local operators
复制标题
零多边形 Wilson 环与局部算子的相关函数
DOI：
10.1007/jhep09(2011)034
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发表时间：
2011
影响因子：
5.4
通讯作者：
A. Tseytlin
中科院分区：
文献类型：
--
作者：
L. Alday;E. Buchbinder;A. Tseytlin
We consider the correlator $ {{{\left\langle {{W_n}\mathcal{O}} \right\rangle }} \left/ {{\left\langle {{W_n}} \right\rangle }} \right.} $ of a light-like polygonal Wilson loop with n cusps with a local operator (like the dilaton or a chiral primary scalar) in planar $ \mathcal{N} = 4 $ super Yang-Mills theory. As a consequence of conformal symmetry, the main part of such correlator is a function F of 3n − 11conformal ratios. The first non-trivial case is n = 4 when F depends on just one conformal ratio ζ. This makes the corresponding correlator one of the simplest non-trivial observables that one would like to compute for generic values of the ‘t Hooft coupling λ. We compute F(ζ, λ) at leading order in both the strong coupling regime (using semiclassical AdS5 × S5 string theory) and the weak coupling regime (using perturbative gauge theory). Some results are also obtained for polygonal Wilson loops with more than four edges. Furthermore, we also discuss a connection to the relation between a correlator of local operators at null-separated positions and cusped Wilson loop suggested in arXiv:1007.3243.
We consider the correlator $ {{{\left\langle {{W_n}\mathcal{O}} \right\rangle }} \left/ {{\left\langle {{W_n}} \right\rangle }} \right.} $ of a light-like polygonal Wilson loop with n cusps with a local operator (like the dilaton or a chiral primary scalar) in planar $ \mathcal{N} = 4 $ super Yang-Mills theory. As a consequence of conformal symmetry, the main part of such correlator is a function F of 3n − 11conformal ratios. The first non-trivial case is n = 4 when F depends on just one conformal ratio ζ. This makes the corresponding correlator one of the simplest non-trivial observables that one would like to compute for generic values of the ‘t Hooft coupling λ. We compute F(ζ, λ) at leading order in both the strong coupling regime (using semiclassical AdS5 × S5 string theory) and the weak coupling regime (using perturbative gauge theory). Some results are also obtained for polygonal Wilson loops with more than four edges. Furthermore, we also discuss a connection to the relation between a correlator of local operators at null-separated positions and cusped Wilson loop suggested in arXiv:1007.3243.
AdS/CFT 可集成性回顾：概述
影响因子：
1.2
作者：
Beisert N
通讯作者：
Beisert N