Quadratic corrections to three-point 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.

10 pages, no figures, improvements made

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• Matching three-point functions of BMN operators at weak and strong coupling
• Three-point functions of BMN operators at weak and strong coupling II. One loop matching
• Correlators of massive string states with conserved currents
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• On semiclassical four-point correlators in AdS_5 x S^5
• Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3
• Spacetime Bananas with EOW Branes and Spins