Leading finite-size effects on some three-point correlators in AdS_5 x S^5

TL;DR

This paper investigates the leading finite-size corrections to three-point correlation functions in AdS_5 x S^5, linking string theory calculations with dual gauge theory spin-chain models.

Contribution

It provides explicit formulas for finite-size effects on structure constants in three-point correlators within the semiclassical string framework.

Findings

Finite-size effects expressed in terms of conserved angular momenta J_1, J_2 and momentum p.

Connection established between string theory correlators and dual spin-chain excitations.

Results enhance understanding of finite-size corrections in AdS/CFT correspondence.

Abstract

In the framework of the semiclassical approach, we find the leading finite-size effects on the normalized structure constants in some three-point correlation functions in AdS_5 x S^5, expressed in terms of the conserved string angular momenta J_1, J_2, and the worldsheet momentum p_w, identified with the momentum p of the magnon excitations in the dual spin-chain arising in N=4 SYM in four dimensions.