Tailoring three-point functions and integrability

doi:10.1007/JHEP09(2011)028

Tailoring three-point functions and integrability

2011-09-07

125

PRE

AI

DOI：10.1007/JHEP09(2011)028

Original

Original request for help

Save

Abstract

En 中文

We use integrability techniques to compute structure constants in N = 4 SYM to leading order at weak coupling and to leading order in the planar expansion. Three closed spin chains, which represent the single trace gauge-invariant operators in N = 4 SYM, are cut into six open chains which are then sewed back together into some nice pants, the three-point function. The algebraic and coordinate Bethe ansatz tools necessary for this task are reviewed. Our results hold for scalar single trace operators of arbitrary size. Finally, we discuss the classical limit of our results, anticipating some predictions for quasi-classical string correlators in terms of algebraic curves.

Keywords:

Duality in Gauge Field Theories

AdS-CFT Correspondence

Integrable Field Theories

Tailoring three-point functions and integrability

Abstract

Journal

Organization