English

Three-point Correlation functions of Giant magnons with finite size

High Energy Physics - Theory 2011-08-09 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1105.3084,
  title  = {Three-point Correlation functions of Giant magnons with finite size},
  author = {Changrim Ahn and Plamen Bozhilov},
  journal= {arXiv preprint arXiv:1105.3084},
  year   = {2011}
}

Comments

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