Three-point Correlation functions of Giant magnons with finite size

Details Three-point Correlation functions of Giant magnons with finite size Three-point Correlation functions of Giant magnons with finite size

2011-05-16

arxiv.org/abs/1105.3084v2

Phys.Lett.B702:286-290,2011

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, some references modified and upgraded, minor revision to appear in PLB

Scientific paper

10.1016/j.physletb.2011.07.011

We compute holographic three-point correlation functions or structure constants of a zero-momentum dilaton operator and two (dyonic) giant magnon string states with a finite-size length in the semiclassical approximation. We show that the semiclassical structure constants match exactly with the three-point functions between two su(2) magnon single trace operators with finite size and the Lagrangian in the large 't Hooft coupling constant limit. A special limit J>>sqrt(lambda) of our result is compared with the relevant result based on the L\"uscher corrections.

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