Three-point correlation functions of giant magnons with finite size

Changrim Ahn; Plamen Bozhilov

doi:10.1016/j.physletb.2011.07.011

Three-point correlation functions of giant magnons with finite size

Changrim Ahn, Plamen Bozhilov

Department of Physics

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

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≫√λ of our result is compared with the relevant result based on the Lüscher corrections.

Original language	English
Pages (from-to)	286-290
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	702
Issue number	4
DOIs	https://doi.org/10.1016/j.physletb.2011.07.011
State	Published - 19 Aug 2011

Bibliographical note

Funding Information:
We thank Chanyong Park for useful discussions. This work was supported in part by WCU Grant No. R32-2008-000-101300 (C.A.) and DO 02-257 (P.B.).

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10.1016/j.physletb.2011.07.011

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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≫√λ of our result is compared with the relevant result based on the L{\"u}scher corrections.",

author = "Changrim Ahn and Plamen Bozhilov",

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AU - Bozhilov, Plamen

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N2 - 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≫√λ of our result is compared with the relevant result based on the Lüscher corrections.

AB - 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≫√λ of our result is compared with the relevant result based on the Lüscher corrections.

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JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 4

ER -

Three-point correlation functions of giant magnons with finite size

Abstract

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