Diagonal Form Factors and Heavy-Heavy-Light Three-Point Functions at Weak Coupling
arXiv:1504.07133 · doi:10.1007/JHEP09(2015)125
Abstract
In this paper we consider a special kind of three-point functions of HHL type at weak coupling in N=4 SYM theory and analyze its volume dependence. At strong coupling this kind of three-point functions were studied recently by Bajnok, Janik and Wereszczynski [1]. The authors considered some cases of HHL correlator in the su(2) sector and, relying on their explicit results, formulated a conjecture about the form of the volume dependence of the symmetric HHL structure constant to be valid at any coupling up to wrapping corrections. In order to test this hypothesis we considered the HHL correlator in su(2) sector at weak coupling and directly showed that, up to one loop, the finite volume dependence has exactly the form proposed in [1]. Another side of the conjecture suggests that computation of the symmetric structure constant is equivalent to computing the corresponding set of infinite volume form factors, which can be extracted as the coefficients of finite volume expansion. In this sense, extracting appropriate coefficients from our result gives a prediction for the corresponding infinite volume form factors.
arXiv comment37 pages, 9 figures
References in corpus (33)
- The Bethe-Ansatz for N=4 Super Yang-Mills
- Review of AdS/CFT Integrability: An Overview
- How Algebraic Bethe Ansatz works for integrable model
- A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
- Form factors of the XXZ Heisenberg spin-1/2 finite chain
- Quantum spectral curve for AdS_5/CFT_4
- Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
- On the quantum inverse scattering problem
- Tailoring Three-Point Functions and Integrability
- Finite Temperature Correlation Functions in Integrable QFT
- Form factors in finite volume II:disconnected terms and finite temperature correlators
- Form factors in finite volume I: form factor bootstrap and truncated conformal space
- On three-point correlation functions in the gauge/gravity duality
- Holographic three-point functions of semiclassical states
- Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
- A comment on finite temperature correlations in integrable QFT
- Three-Point Functions in N=4 SYM Theory at One-Loop
- Yang-Mills Correlation Functions from Integrable Spin Chains
- Structure constants of planar N =4 Yang Mills at one loop
- HHL correlators, orbit averaging and form factors
- String field theory vertex from integrability
- N=4 SYM structure constants as determinants
- Tailoring Non-Compact Spin Chains
- Fixing the Quantum Three-Point Function
- Tailoring Three-Point Functions and Integrability IV. Theta-morphism
- Worldsheet Form Factors in AdS/CFT
- Three-Point Functions and su(1|1) Spin Chains
- Novel construction and the monodromy relation for three-point functions at weak coupling
- String Bits and the Spin Vertex
- On the algebraic Bethe Ansatz approach to the correlation functions of the XXZ spin-1/2 Heisenberg chain
- Comments on World-Sheet Form Factors in AdS/CFT
- Form factor approach to diagonal finite volume matrix elements in Integrable QFT
- From Spin Vertex to String Vertex
Cited by in corpus (19)
- Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
- Higher-point conformal blocks and entanglement entropy in heavy states
- Current operators in Bethe Ansatz and Generalized Hydrodynamics: An exact quantum/classical correspondence
- Structure constants at wrapping order
- Three-point functions in SYM: the hexagon proposal at three loops
- Current operators in integrable models: A review
- Equations of state in generalized hydrodynamics
- The hexagon in the mirror: the three-point function in the SoV representation
- From the octagon to the SFT vertex - gluing and multiple wrapping
- Hexagons and Correlators in the Fishnet Theory
- Diagonal form factors and hexagon form factors
- Diagonal finite volume matrix elements in the sinh-Gordon model
- Classical limit of diagonal form factors and HHL correlators
- Exact finite volume expectation values of conserved currents
- The kinematical AdS5xS5 Neumann coefficient
- Diagonal Form Factors and Hexagon Form Factors II. Non-BPS Light Operator
- A study of integrable form factors in massless relativistic AdS_3
- The LeClair-Mussardo series and nested Bethe Ansatz
- A study of integrable form factors in massless relativistic