Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-10-18
Physics
High Energy Physics
High Energy Physics - Theory
62 pages;v2 Typos and equation (3.7) corrected. Clarifying remarks added in Section 4.1. Published version
Scientific paper
Adapting the powerful integrability-based formalism invented previously for the calculation of gluon scattering amplitudes at strong coupling, we develop a method for computing the holographic three point functions for the large spin limit of Gubser-Klebanov- Polyakov (GKP) strings. Although many of the ideas from the gluon scattering problem can be transplanted with minor modifications, the fact that the information of the external states is now encoded in the singularities at the vertex insertion points necessitates several new techniques. Notably, we develop a new generalized Riemann bilinear identity, which allows one to express the area integral in terms of appropriate contour integrals in the presence of such singularities. We also give some general discussions on how semiclassical vertex operators for heavy string states should be constructed systematically from the solutions of the Hamilton-Jacobi equation.
Kazama Yoichi
Komatsu Shota
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