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The AdS/QCD Correspondence and Exclusive Processes
High Energy Physics - Phenomenology · Submitted 30 Jul 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim One thus obtains a relativistic description of hadrons in QCD at the amplitude level with dimensional counting for hard exclusive reactions at high momentum transfer.
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The abstract, sentence by sentence
The AdS/CFT correspondence between theories in AdS space and conformal field theories in physical space-time provides an analytic, semi-classical, color-confining model for strongly-coupled QCD. The soft-wall AdS/QCD model modified by a positive-sign dilaton metric leads to a remarkable one-parameter description of nonperturbative hadron dynamics at zero quark mass, including a zero-mass pion and a Regge spectrum of linear trajectories with the same slope in orbital angular momentum $L$ and radial quantum number $n$ for both mesons and baryons. One also predicts the form of the non-perturbative effective coupling $\alpha_s^{AdS}(Q)$ and its $\beta$-function which agrees with the effective coupling $\alpha_{g_1}$ extracted from the Bjorken sum rule. Light-front holography, which connects the fifth-dimensional coordinate of AdS space $z$ to an invariant impact separation variable $\zeta$, allows one to compute the analytic form of the frame-independent light-front wavefunctions, the fundamental entities which encode hadron properties as well as decay constants, form factors, deeply virtual Compton scattering, exclusive heavy hadron decays and other exclusive scattering amplitudes. One thus obtains a relativistic description of hadrons in QCD at the amplitude level with dimensional counting for hard exclusive reactions at high momentum transfer. As specific examples we discuss the behavior of the pion and nucleon form factors in the space-like and time-like regions. We also review the phenomenology of exclusive processes including some anomalous empirical results.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The AdS/CFT correspondence between theories in AdS space and conformal field theories in physical space-time provides an analytic, semi-classical, color-confining model for strongly-coupled QCD. | background 0.98 | 0.08 | 0.16 | asserted 1.00 |
| s1 | The soft-wall AdS/QCD model modified by a positive-sign dilaton metric leads to a remarkable one-parameter description of nonperturbative hadron dynamics at zero quark mass, including a zero-mass pion and a Regge spectrum of linear trajectories with the same slope in orbital angular momentum $L$ and radial quantum number $n$ for both mesons and baryons. | result 0.81 | 0.61 | 0.32 | asserted 1.00 |
| s2 | One also predicts the form of the non-perturbative effective coupling $\alpha_s^{AdS}(Q)$ and its $\beta$-function which agrees with the effective coupling $\alpha_{g_1}$ extracted from the Bjorken sum rule. | result 0.99 | 0.71 | 0.14 | asserted 0.98 |
| s3 | Light-front holography, which connects the fifth-dimensional coordinate of AdS space $z$ to an invariant impact separation variable $\zeta$, allows one to compute the analytic form of the frame-independent light-front wavefunctions, the fundamental entities which encode hadron properties as well as decay constants, form factors, deeply virtual Compton scattering, exclusive heavy hadron decays and other exclusive scattering amplitudes. | method 0.89 | 0.51 | 0.19 | asserted 0.95 |
| s4 | One thus obtains a relativistic description of hadrons in QCD at the amplitude level with dimensional counting for hard exclusive reactions at high momentum transfer. | interpretation 0.43 | 0.77 | 0.26 | asserted 1.00 |
| s5 | As specific examples we discuss the behavior of the pion and nucleon form factors in the space-like and time-like regions. | contribution 0.76 | 0.57 | 0.05 | asserted 0.58 |
| s6 | We also review the phenomenology of exclusive processes including some anomalous empirical results. | contribution 0.94 | 0.48 | 0.05 | asserted 0.69 |
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The paper
Original abstract
The AdS/CFT correspondence between theories in AdS space and conformal field theories in physical space-time provides an analytic, semi-classical, color-confining model for strongly-coupled QCD. The soft-wall AdS/QCD model modified by a positive-sign dilaton metric leads to a remarkable one-parameter description of nonperturbative hadron dynamics at zero quark mass, including a zero-mass pion and a Regge spectrum of linear trajectories with the same slope in orbital angular momentum $L$ and radial quantum number $n$ for both mesons and baryons. One also predicts the form of the non-perturbative effective coupling $\alpha_s^{AdS}(Q)$ and its $\beta$-function which agrees with the effective coupling $\alpha_{g_1}$ extracted from the Bjorken sum rule. Light-front holography, which connects the fifth-dimensional coordinate of AdS space $z$ to an invariant impact separation variable $\zeta$, allows one to compute the analytic form of the frame-independent light-front wavefunctions, the fundamental entities which encode hadron properties as well as decay constants, form factors, deeply virtual Compton scattering, exclusive heavy hadron decays and other exclusive scattering amplitudes. One thus obtains a relativistic description of hadrons in QCD at the amplitude level with dimensional counting for hard exclusive reactions at high momentum transfer. As specific examples we discuss the behavior of the pion and nucleon form factors in the space-like and time-like regions. We also review the phenomenology of exclusive processes including some anomalous empirical results.
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How the literature uses it
5 arXiv papers cite this in 5 sentences
Papers citing it · 3 sentences without a confident label
Uses its method or tool 1 paper
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Our analysis will be based on the top-down dual construction [ref] , in contrast to the bottom-up constructions recently discussed in [ref] .
gamma^* gamma^* -> pi^0 Form Factor from AdS/QCD · Introduction · 0.88
Cites it as background 1 paper
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There is also another interesting way to calculate the mass spectra for light mesons and baryons by using the approach of Light-Front holography [ref] .
Predictive AdS/QCD Model for Mass Spectra of Mesons with Three Flavors · Introduction · 0.81
What it cites · 70 sentences without a confident label
Uses the method or tool of 1 paper
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Heisenberg's problem on the light-front can be solved numerically using discretized light-front quantization (DLCQ) [ref] by applying anti-periodic boundary conditions in $σ= x^0-x^3.$ This method has been used successfully to solve many lower dimension quantum field theories [ref] .
Quantum Chromodynamics and Other Field Theories on the Light Cone · Light-Front Quantization and Exclusive Processes · 0.91
Uses data or values from 2 papers
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The value $κ= 0.54 GeV$ is determined from the vector meson Regge trajectory [ref] .
Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra · Comparison of the Holographic Coupling with Other Effective Charges · 0.91
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The effective charge $α_ g_1$ has been determined in Ref. [ref] from several experiments.
Experimental determination of the effective strong coupling constant · Comparison of the Holographic Coupling with Other Effective Charges · 0.86
Compares with 6 papers
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In our approach quark and gluon degrees of freedom are explicitly introduced in the gauge/gravity correspondence [ref] , in contrast with the usual AdS/QCD framework [ref] where axial and vector currents become the primary entities as in effective chiral theory.
Chiral symmetry breaking from five dimensional spaces · The Hadron Spectrum and Form Factors in Light-Front AdS/QCD · 0.91
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In our approach quark and gluon degrees of freedom are explicitly introduced in the gauge/gravity correspondence [ref] , in contrast with the usual AdS/QCD framework [ref] where axial and vector currents become the primary entities as in effective chiral theory.
QCD and a Holographic Model of Hadrons · The Hadron Spectrum and Form Factors in Light-Front AdS/QCD · 0.91
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In our approach quark and gluon degrees of freedom are explicitly introduced in the gauge/gravity correspondence [ref] , in contrast with the usual AdS/QCD framework [ref] where axial and vector currents become the primary entities as in effective chiral theory.
Light-Front Hadron Dynamics and AdS/CFT Correspondence · The Hadron Spectrum and Form Factors in Light-Front AdS/QCD · 0.91
Cites as support 8 papers
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Dimensional counting is built into the AdS/QCD soft and hard wall models since the AdS amplitudes $Φ(z)$ are governed by their twist scaling behavior $z^τ$ at short distances, $z →0$ [ref] .
Hard Scattering and Gauge/String Duality · The $β$-Function from AdS/QCD · 0.96
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Furthermore, for large values of $z$ the gravitational potential increases exponentially, confining any object to distances $⟨z ⟩∼1/κ$ [ref] .
Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra · AdS/QCD Models · 0.98
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The QCD infrared fixed point arises since the propagators of the confined quarks and gluons in the loop integrals contributing to the $β$-function have a maximal wavelength [ref] .
Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics · AdS/QCD · 0.97
Cites as background 20 papers
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One of the most significant theoretical advances in recent years has been the application of the AdS/CFT correspondence [ref] between string theories defined in 5-dimensional Anti–de Sitter (AdS) space-time and conformal field theories in physical space-time, to study the dynamics of strongly coupled quantum field theories.
The Large N Limit of Superconformal Field Theories and Supergravity · AdS/QCD · 0.99
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Other recent computations of the pion form factor are given in Refs. [ref] .
Pion and Vector Meson Form Factors in the Kuperstein-Sonnenschein holographic model · The Hadron Spectrum and Form Factors in Light-Front AdS/QCD · 0.90
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Other recent computations of the pion form factor are given in Refs. [ref] .
Pion Form Factor in Chiral Limit of Hard-Wall AdS/QCD Model · The Hadron Spectrum and Form Factors in Light-Front AdS/QCD · 0.90
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