On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT

Abstract

We consider the 2-point function of string vertex operators representing string state with large spin in AdS_5. We compute this correlator in the semiclassical approximation and show that it has the expected (on the basis of state-operator correspondence) form of the strong-coupling limit of the 2-point function of single trace minimal twist operators in gauge theory. The semiclassical solution representing the stationary point of the path integral with two vertex operator insertions is found to be related to the large spin limit of the folded spinning string solution by a euclidean continuation, transformation to Poincare coordinates and conformal map from cylinder to complex plane. The role of the source terms coming from the vertex operator insertions is to specify the parameters of the solution in terms of quantum numbers (dimension and spin) of the corresponding string state. Understanding further how similar semiclassical methods may work for 3-point functions may shed light on strong-coupling limit of the corresponding correlators in gauge theory as was recently suggested by Janik et al in arXiv:1002.4613.

19 pages, 1 figure; minor corrections, references added, footnote below eq. (4.5) added

References in corpus (6)

• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Structure of large spin expansion of anomalous dimensions at strong coupling
• A Semiclassical String Description of Wilson Loop with Local Operators
• Holography of Two-point Functions in the Spinning String/Spin Chain Correspondence
• Holography of Wilson-Loop Expectation Values with Local Operator Insertions

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• Semiclassical four-point functions in AdS_5 x S^5
• Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5
• Correlators of Vertex Operators for Circular Strings with Winding Numbers in AdS5xS5
• Three-point Correlation functions of Giant magnons with finite size
• Three-point correlators for giant magnons
• Correlation functions of magnon and spike
• Correlation function of dyonic strings
• Three-point correlation functions from semiclassical circular strings
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory