Quadratic corrections to three-point functions

TL;DR

This paper calculates quantum corrections to three-point functions involving heavy string states and a light dilaton in AdS_5 x S^5, revealing relations between corrections to dimensions and structure constants.

Contribution

It introduces a method to compute logarithmic divergences in quantum corrections for three-point functions with heavy string states at strong coupling.

Findings

Derived relations between corrections to dimensions and structure constants.

Computed leading bosonic quantum corrections for specific string solutions.

Identified logarithmic divergent terms in the correlation functions.

Abstract

Following the recent progress on the calculation of three-point correlators with two "heavy" (with large quantum numbers) and one "light" states at strong coupling, we compute the logarithmic divergent terms of leading bosonic quantum corrections to correlation functions with "heavy" operators corresponding to simple string solutions in AdS_5 x S^5. The "light" operator is chosen to be the dilaton. An important relation connecting the corrections to both the dimensions of "heavy" states, and the structure constants is recovered.