Nonperturbative QCD Coupling and its $\beta$ function from Light-Front Holography

Abstract

The light-front holographic mapping of classical gravity in AdS space, modified by a positive-sign dilaton background, leads to a nonperturbative effective coupling ${\alpha }_s^{AdS}(Q^2)$. It agrees with hadron physics data extracted from different observables, such as the effective charge defined by the Bjorken sum rule, as well as with the predictions of models with built-in confinement and lattice simulations. It also displays a transition from perturbative to nonperturbative conformal regimes at a momentum scale $\sim 1$ GeV. The resulting $\beta$ function appears to capture the essential characteristics of the full $\beta$ function of QCD, thus giving further support to the application of the gauge/gravity duality to the confining dynamics of strongly coupled QCD. Commensurate scale relations relate observables to each other without scheme or scale ambiguity. In this paper we extrapolate these relations to the nonperturbative domain, thus extending the range of predictions based on ${\alpha }_s^{AdS}(Q^2)$.

32 pages, 7 figures. Final version published in Phys. Rev. D

References in corpus (23)

• Linear Confinement and AdS/QCD
• Exploring improved holographic theories for QCD: Part II
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Pinch Technique: Theory and Applications
• Light-Front Holography: A First Approximation to QCD
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• k_T factorization is violated in production of high-transverse-momentum particles in hadron-hadron collisions
• Static QCD potential at three-loop order
• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Toward a Systematic Holographic QCD: A Braneless Approach
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Determination of the effective strong coupling constant alpha_{s,g_1}(Q^2) from CLAS spin structure function data
• Experimental study of isovector spin sum rules
• Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra
• A gauge/gravity duality model for gauge theory thermodynamics
• Improved soft-wall model with a negative dilaton
• Phenomenology of AdS/QCD and Its Gravity Dual
• Holographic Conformal Window - A Bottom Up Approach
• Light-Front Quantization Approach to the Gauge-Gravity Correspondence and Hadron Spectroscopy
• Full result for the three-loop static quark potential
• Self-dual gauge fields, domain wall fermion zero modes and the Kugo-Ojima confinement criterion
• Scrutinizing the Green's functions of QCD: Lattice meets Schwinger-Dyson

Cited by in corpus (144)

• Light-Front Holographic QCD and Emerging Confinement
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• The Large Hadron-Electron Collider at the HL-LHC
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Dilaton in a soft-wall holographic approach to mesons and baryons
• Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions
• The Spin Structure of the Nucleon
• Baryon Spectrum from Superconformal Quantum Mechanics and its Light-Front Holographic Embedding
• Effective charge from lattice QCD
• Standard Model $\mathcal{O}(\alpha )$ renormalization of $g_A$ and its impact on new physics searches
• $\Delta I=1/2$ rule for kaon decays derived from QCD infrared fixed point
• Nucleon structure including high Fock states in AdS/QCD
• Analysis of nucleon electromagnetic form factors from light-front holographic QCD : The spacelike region
• Connecting the Hadron Mass Scale to the Fundamental Mass Scale of Quantum Chromodynamics
• An Analysis of Scheme Transformations in the Vicinity of an Infrared Fixed Point
• Logarithmic correction in the deformed ${\mathrm{AdS}}_5$ model to produce the heavy quark potential and QCD beta function
• On the Interface between Perturbative and Nonperturbative QCD
• Collinearly improved kernel suppresses Coulomb tails in the impact-parameter dependent Balitsky-Kovchegov evolution
• Scheme Transformations in the Vicinity of an Infrared Fixed Point
• Puzzles in Hadronic Physics and Novel Quantum Chromodynamics Phenomenology
• Moving heavy quarkonium entropy, effective string tension, and the QCD phase diagram
• P-wave excited baryons from pion- and photo-induced hyperon production
• Bjorken polarized sum rule and infrared-safe QCD couplings
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• The transverse structure of the pion in momentum space inspired by the AdS/QCD correspondence
• Study of Scheme Transformations to Remove Higher-Loop Terms in the $\beta$ Function of a Gauge Theory
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction
• Transport in strongly coupled quark matter
• Comparison of Some Exact and Perturbative Results for a Supersymmetric SU($N_c$) Gauge Theory
• Spin effects in the pion holographic light-front wavefunction
• Anomalous dimensions and scalar glueball spectroscopy in AdS/QCD
• Meson/Baryon/Tetraquark Supersymmetry from Superconformal Algebra and Light-Front Holography
• Nucleons and higher spin baryon resonances: an AdS/QCD configurational entropic incursion
• Implications of the Principle of Maximum Conformality for the QCD Strong Coupling
• Holographic approach to transport in dense QCD matter
• Measurement of the Q^2 Dependence of the Deuteron Spin Structure Function g_1 and its Moments at Low Q^2 with CLAS
• Extraction of ${\alpha }_s$ from deep inelastic scattering at large $x$
• Renormalon-motivated evaluation of QCD observables
• Longitudinal dynamics and chiral symmetry breaking in holographic light-front QCD
• Two-gluon and trigluon glueballs from dynamical holography QCD
• Determination of ${\Lambda }_{\overline{MS}}$ at five loops from holographic QCD
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• QCD corrections to the $B_c$ to charmonia semi-leptonic decays
• The Light-Front Schrödinger Equation and Determination of the Perturbative QCD Scale from Color Confinement
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• Lattice-motivated holomorphic nearly perturbative QCD
• The gluon condensation at high energy hadron collisions
• Worldline holographic Schwinger effect
• An explanation for dark matter and dark energy consistent with the Standard Model of particle physics and General Relativity
• Mesons and Nucleons in Soft-Wall AdS/QCD
• Running coupling constant at finite chemical potential and magnetic field from holography
• QCD effective charge from the three-gluon vertex of the background-field method
• Calculation of the non-perturbative strong coupling from first principles
• Strong Interaction Physics at the Luminosity Frontier with 22 GeV Electrons at Jefferson Lab
• Infrared Evolution and Phase Structure of a Gauge Theory Containing Different Fermion Representations
• Light scalar tetraquarks from a holographic perspective
• QCD rescattering mechanism for diffractive deep inelastic scattering
• Self-interacting scalar fields at high-temperature
• Topology and emergent symmetries in dense compact star matter
• Novel and self-consistency analysis of the QCD running coupling ${\alpha }_s(Q)$ in both the perturbative and nonperturbative domains
• Axial anomaly and the triality symmetry of octonion
• QCD Compositeness as Revealed in Exclusive Vector Boson Reactions through Double-Photon Annihilation: $e^{+}{e}^{-}\to \gamma {\gamma }^{\ast }\to \gamma V^0$ and $e^{+}{e}^{-}\to {\gamma }^{\ast }{\gamma }^{\ast }\to V^0{V}^0$
• Light-Front Holography and Superconformal Quantum Mechanics: A New Approach to Hadron Structure and Color Confinement
• Cornell potential in generalized Soft Wall holographic model
• Neutral Weak Form Factors of Proton and Neutron
• Holographic QCD Running Coupling for Light Quarks in Strong Magnetic Field
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Bjorken sum rule in QCD with analytic coupling
• The effects of deformation parameter on thermal width of moving quarkonia in plasma
• Hadrons on the worldline, holography, and Wilson flow
• Alternative way to understand the unexpected results of the JLab polarization experiments to measure the Sachs form factors ratio
• Quasiconformality and mass
• Scalar spectrum in a graviton soft wall model
• The flavor symmetry in the standard model and the triality symmetry
• Running Coupling for Holographic QCD with Heavy and Light Quarks: Isotropic case
• Perturbative QCD in acceptable schemes with holomorphic coupling
• Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography
• Superconformal Algebraic Approach to Hadron Structure
• Meson distribution amplitudes in holographic models
• Nonsinglet polarized nucleon structure function in infrared-safe QCD
• A Possible Solution to the $B\to \pi \pi$ Puzzle Using the Principle of Maximum Conformality
• Light-Front Holography, Color Confinement, and Supersymmetric Features of QCD
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• Hadron Spectroscopy and Dynamics from Light-Front Holography and Superconformal Algebra
• High orders perturbation theory and dual models for Yang-Mills theories
• Significance of Gravitational Nonlinearities on the Dynamics of Disk Galaxies
• Pileup and Infrared Radiation Annihilation (PIRANHA): A Paradigm for Continuous Jet Grooming
• Comparing optimized renormalization schemes for QCD observables
• Hypothesis of quark binding by condensation of gluons in hadrons
• Analysis of strong coupling constant with machine learning and its application
• Looking into the matter of light-quark hadrons
• The fifth dimension in the worldline formalism, holography, and the Wilson flow
• PQCD Analysis of Parton-Hadron Duality
• The Gross-Llewellyn Smith sum rule up to $\mathcal{O}({\alpha }_s^4)$-order QCD corrections
• Evaluations of low-energy physical quantities in QCD with IR freezing of the coupling
• Soft asymptotics with mass gap
• Light-Front Holographic QCD and Color Confinement
• Light-Front Holography, Light-Front Wavefunctions, and Novel QCD Phenomena
• Effects of hyperscaling violation and dynamical exponents on heavy quark potential and jet quenching parameter
• Confinement, the gluon propagator and the interquark potential for heavy mesons
• Color Confinement and Supersymmetric Properties of Hadron Physics from Light-Front Holography
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• Technicolor Models with Color-Singlet Technifermions and their Ultraviolet Extensions
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• The magnetic mass of transverse gluon, the B-meson weak decay vertex and the triality symmetry of octonion
• QCD on the Light-Front -- A Systematic Approach to Hadron Physics
• Infrared Fixed Point in the Strong Running Coupling: Unraveling the ΔI=1/2 puzzle in K-Decays
• Hard-gluon Evolution of Nucleon Generalized Parton Distributions in Soft-Wall AdS/QCD Model
• Light-Front Holography and the Light-Front Schrodinger Equation
• The QCD running coupling at all scales and the connection between hadron masses and Λ_s
• Determining wave equations in holographic QCD from Wilsonian renormalization group
• Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling
• The $P$-wave charmonium annihilation into two photons ${\chi }_{c0,c2}\to \gamma \gamma$ with high-order QCD corrections
• $R_{e^{+}{e}^{-}}$ and an effective QCD charge
• Analysis of ${\alpha }_s$ from the realization of quark-hadron duality
• Vacuum energy as a c-function for theories with dynamically generated masses
• Mesons and Nucleons in Soft-Wall AdS/QCD with Constrained Infrared Background
• Infrared fixed point of QCD, critical flavor number and triality automorphism of octonions
• Analytical perturbation theory and Nucleon structure function in infrared region
• Dynamic colour screening in diffractive deep inelastic scattering
• QCD and Light-Front Holography
• Atoms in Flight and the Remarkable Connections between Atomic and Hadronic Physics
• Measurement of the nucleon spin structure functions for 0.01<$Q^2$<1 GeV${}^2$ using CLAS
• QCD and Light-Front Dynamics
• Chiral Symmetry in the Confinement Phase of QCD
• Hadron and Nuclear Physics on the Light Front
• QCD fixed points: Banks-Zaks scenario or dynamical gluon mass generation?
• Light-Front Holographic Quantum Chromodynamics
• Updated Determination of Ellis-Jaffe Sum Rules up to ${\mathrm{N}}^3\mathrm{LO}$ QCD corrections
• Holographic QCD Running Coupling Constant from the Ricci Flow
• The Debye Length and the Running Coupling of QCD: a Potential and Phenomenological Approach
• The Common Elements of Atomic and Hadronic Physics
• Some aspects of non-perturbative QCD from non-susy D3 brane of Type IIB string theory
• Novel Perspectives for Hadron Physics
• Non-perturbative Aspects of Quantum Field Theories from Holography
• Chiral Symmetry Restoration using the Running Coupling Constant from the Light-Front Approach to QCD
• Novel QCD Phenomena at JLab
• Flat Bundles on Function Manifolds and Evolution Equations in Quantum Field Theories
• Confinement and Pseudoscalar Glueball Spectrum in the $2+1$D QCD-Like Theory from the Non-Susy D$2$ Brane
• Phenomenology of ${\alpha }_s$ at intermediate energy: the quark-hadron duality approach
• Mesons and baryons in a soft-wall holographic approach
• Supersymmetric Meson-Baryon Properties of QCD from Light-Front Holography and Superconformal Algebra