Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order

Abstract

We report on a systematic perturbative study of three-point functions in planar SU(N) N=4 super Yang-Mills theory at the one-loop level involving scalar field operators up to length five. For this we have computed a sample of 40 structure constants involving primary operators of up to and including length five which are built entirely from scalar fields. A combinatorial dressing technique has been developed to promote tree-level correlators to one-loop level. In addition we have resolved the mixing up to the order (g_YM)^2 level of the operators involved, which amounts to mixings with bi-fermions, with bi-derivative insertions as well as self-mixing contributions in the scalar sector. This work supersedes a preprint by two of the authors from 2010 which had neglected the mixing contributions.

45, 5 tables, many figures. arXiv admin note: substantial text overlap with arXiv:1007.2356

References in corpus (81)

• Gauge Theory Correlators from Non-Critical String Theory
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Review of AdS/CFT Integrability: An Overview
• Gluon scattering amplitudes at strong coupling
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• A semi-classical limit of the gauge/string correspondence
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• The su(2|2) Dynamic S-Matrix
• The Factorized S-Matrix of CFT/AdS
• Foundations of the AdS_5 x S^5 Superstring. Part I
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Integrability for the Full Spectrum of Planar AdS/CFT II
• The su(2|3) Dynamic Spin Chain
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• Tailoring Three-Point Functions and Integrability
• BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Extremal Correlators in the AdS/CFT Correspondence
• Integrability in QCD and beyond
• On three-point correlation functions in the gauge/gravity duality
• Holographic three-point functions of semiclassical states
• Five loop Konishi from AdS/CFT
• Nilpotent invariants in N=4 SYM
• On correlation functions of operators dual to classical spinning string states
• Properties of the Konishi multiplet in N=4 SYM theory
• Three-Point Functions in N=4 SYM Theory at One-Loop
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Three-point functions in N=4 Yang-Mills theory and pp-waves
• Structure constants of planar N =4 Yang Mills at one loop
• Holographic three-point functions of giant gravitons
• On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT
• On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
• Tailoring Three-Point Functions and Integrability III. Classical Tunneling
• Correlation functions of three heavy operators - the AdS contribution
• Semiclassical Bethe Ansatz and AdS/CFT
• On Non-renormalization and OPE in Superconformal Field Theories
• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• OPEs and 3-point correlators of protected operators in N=4 SYM
• Two and three-point correlators of operators dual to folded string solutions at strong coupling
• Konishi operator at intermediate coupling
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• Perturbative and instanton corrections to the OPE of CPOs in N=4 SYM_4
• Holographic Correlation Functions for Open Strings and Branes
• N=4 SYM structure constants as determinants
• The structure of n-point functions of chiral primary operators in N=4 super Yang-Mills at one-loop
• SL(2) sector: weak/strong coupling agreement of three-point correlators
• Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5
• A light-cone approach to three-point functions in AdS_5 x S^5
• Correlators of Vertex Operators for Circular Strings with Winding Numbers in AdS5xS5
• Duality between Wilson loops and gluon amplitudes
• Towards a string bit formulation of N=4 super Yang-Mills
• On holographic three point functions for GKP strings from integrability
• Holography of Two-point Functions in the Spinning String/Spin Chain Correspondence
• Three-point Correlation functions of Giant magnons with finite size
• Three-point correlators for giant magnons
• Higher-Loop Integrability in N=4 Gauge Theory
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Semiclassical correlators of three states with large S^5 charges in string theory in AdS_5 x S^5
• Correlation functions of magnon and spike
• Quasilocality of joining/splitting strings from coherent states
• Three- and four-point correlators of operators dual to folded string solutions in AdS_5 x S^5
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• Holographic 3-point function at one loop
• Fermion BMN operators, the dilatation operator of N=4 SYM, and pp-wave string interactions
• Operator mixing and three-point functions in N=4 SYM
• Three-point Correlation Function of Giant Magnons in the Lunin-Maldacena background
• Operator Mixing and the AdS/CFT correspondence
• Some Systematics of the Coupling Constant Dependence of N=4 Yang-Mills
• One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory
• The two-loop dilatation operator of N=4 super Yang-Mills theory in the SO(6) sector
• Holography in the Large J Limit of AdS/CFT Correspondence and Its Applications
• Extremal Correlator of Three Vertex Operators for Circular Winding Strings in AdS5xS5

Cited by in corpus (30)

• The hexagon in the mirror: the three-point function in the SoV representation
• Wave functions and correlation functions for GKP strings from integrability
• Fixing the Quantum Three-Point Function
• Holographic three-point functions for short operators
• Three-Point Functions and su(1|1) Spin Chains
• Correlation functions of local composite operators from generalized unitarity
• Three-point correlators of twist-2 operators in N=4 SYM at Born approximation
• Three-Point Functions of Twist-Two Operators in N=4 SYM at One Loop
• Multi-soft theorems in Gauge Theory from MHV Diagrams
• ABJ(M) Chiral Primary Three-Point Function at Two-loops
• Holographic three-point correlators in the Schrodinger/dipole CFT correspondence
• The two-loop dilatation operator of N=4 super Yang-Mills theory in the SO(6) sector
• Matching three-point functions of BMN operators at weak and strong coupling
• Semiclassical correlation functions of Wilson loops and local vertex operators
• Giant magnons and spiky strings in the Schrodinger/dipole-deformed CFT correspondence
• The SO(6) Scalar Product and Three-Point Functions from Integrability
• Three-Point Correlator of Heavy Vertex Operators for Circular Winding Strings in AdS5xS5
• Three-point functions of BMN operators at weak and strong coupling II. One loop matching
• Correlators of massive string states with conserved currents
• String theory on the Schrodinger pp-wave background
• Giant Gravitons on the Schrodinger pp-wave geometry
• A note on three-point functions of unprotected operators
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Structure constants of $\beta$ deformed super Yang-Mills
• Entanglement Entropy of the N=4 SYM spin chain
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Generalised cusp anomalous dimension in beta-deformed super Yang Mills theory
• 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