Quantum Integrability for Three-Point Functions of Maximally Supersymmetric Yang-Mills Theory

2012/02/29 by Nikolay Gromov, Pedro Vieira
Mathematics · Physics and Astronomy · #Algebraic number #Black Holes and Theoretical Physics #Combinatorics #Computer science #Gauge theory #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Planar #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scalar (mathematics) #Supersymmetry #TRACE (psycholinguistics) #Theoretical physics #Yang–Mills existence and mass gap #Yang–Mills theory #hep-th #math-ph #math.MP

paper · pdf · doi:10.1103/physrevlett.111.211601

published as Phys. Rev. Lett. 111, 211601 (2013) · 4 pages, 3 figures

arxiv created 2012/03/13 · openalex publication_date 2013/11/18 · arxiv updated 2013/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quantum corrections to three-point functions of scalar single trace operators in planar N=4 Super-Yang-Mills theory are studied using integrability. At one loop, we find new algebraic structures that not only govern all two-loop corrections to the mixing of the operators but also automatically incorporate all one-loop diagrams correcting the tree-level Wick contractions. Speculations about possible extensions of our construction to all loop orders are given. We also match our results with the strong coupling predictions in the classical (Frolov-Tseytlin) limit.

Citations

• A Novel Long Range Spin Chain and PlanarN=4 Super Yang-Mills
• Quasilocality of joining/splitting strings from coherent states
• Calculation of norms of Bethe wave functions
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Bethe ansatz for a quantum supercoset sigma model
• Long-range deformations for integrable spin chains
• Tailoring three-point functions and integrability II. Weak/strong coupling match