Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-05-08
J.Phys.A44:395401,2011
Physics
High Energy Physics
High Energy Physics - Theory
25 pages,v3:small changes
Scientific paper
10.1088/1751-8113/44/39/395401
Motivated by the problem of understanding 3-point correlation functions of gauge-invariant operators in N =4 super Yang-Mills theory we consider correlators involving Wilson loops and a "light" operator with fixed quantum numbers. At leading order in the strong coupling expansion such correlators are given by the "light" vertex operator evaluated on a semiclassical string world surface ending on the corresponding loops at the boundary of AdS_5 x S^5. We study in detail the example of a correlator of two concentric circular Wilson loops and a dilaton vertex operator. The resulting expression is given by an integral of combinations of elliptic functions and can be computed analytically in some special limits. We also consider a generalization of the minimal surface ending on two circles to the case of non-zero angular momentum J in S^5 and discuss a special limit when one of the Wilson loops is effectively replaced by a "heavy" operator with charge J.
Alday Luis F.
Tseytlin Arkady A.
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