Anomalous and Linear Holographic Hard Wall Models for Glueballs and the Pomeron

Abstract

In this work we propose improved holographic hard wall (HW) models by the inclusion of anomalous dimensions in the dual operators that describe glueballs inspired by the AdS/CFT correspondence. The anomalous dimensions come from well known semi-classical gauge/string duality analysis showing a dependence with the logarithm of spin $S$ of the boundary states. We show that these logarithm anomalous dimensions of the high spin operators combined with the usual HW model allow us to match the pomeron trajectory and give glueball masses which are better than that of the original HW and soft wall (SW) models in comparison with lattice data. We also build up other anomalous HW (AHW) models considering that the logarithm anomalous dimensions can be approximated by a truncated series of odd powers of the difference $\sqrt{S}-1/\sqrt{S}$. These models also fit the pomeron trajectory and produce good glueball masses. Then, we consider an anomalous dimension which is proportional to $\sqrt{S}$, providing reasonable results. Finally, we propose an asymptotic linear AHW model which effective dimensions for high spins operators are of the form $\Delta =a\sqrt{S}+b$, where $a$ and $b$ are constants to be fixed by comparison with the soft pomeron trajectory. In this last model, the Regge trajectory is asymptotically linear even for very high spins ($J\sim 100$) matching the soft pomeron trajectory accurately and generates glueball masses with deviations with respect to the lattice data better than the original HW and SW models.

arXiv comment35 pages, 6 tables, 5 figures. Text and numerical analysis improved. In this revised version we included errors for all calculated glueball masses and the corresponding error bars in figures

References in corpus (58)

• Large N Field Theories, String Theory and Gravity
• Low energy hadron physics in holographic QCD
• QCD and a Holographic Model of Hadrons
• Linear Confinement and AdS/QCD
• The glueball spectrum from an anisotropic lattice study
• A semi-classical limit of the gauge/string correspondence
• BFKL pomeron in the next-to-leading approximation
• Hard Scattering and Gauge/String Duality
• Chiral symmetry breaking from five dimensional spaces
• More on a holographic dual of QCD
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• Light-Front Holographic QCD and Emerging Confinement
• Exploring improved holographic theories for QCD: Part II
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Mesons in Gauge/Gravity Duals - A Review
• Deep Inelastic Scattering and Gauge/String Duality
• Exploring improved holographic theories for QCD: Part I
• Hadronic Spectrum of a Holographic Dual of QCD
• Baryons from instantons in holographic QCD
• SU(N) gauge theories in four dimensions: exploring the approach to N = infinity
• Nucleon electromagnetic and gravitational form factors from holography
• 50 Years of Quantum Chromodynamics
• Glueball Spectrum for QCD from AdS Supergravity Duality
• Light scalar mesons in the soft-wall model of AdS/QCD
• Glueball Mass Spectrum From Supergravity
• Towards the glueball spectrum from unquenched lattice QCD
• QCD/String holographic mapping and glueball mass spectrum
• Dilaton in a soft-wall holographic approach to mesons and baryons
• On the light glueball spectrum in a holographic description of QCD
• Gauge/string duality and scalar glueball mass ratios
• Form Factors and Wave Functions of Vector Mesons in Holographic QCD
• Glueball Mass Spectra and Other Issues for Supergravity Duals of QCD Models
• Holographic Model for Hadrons in Deformed AdS5 Background
• Evaluation Of Glueball Masses From Supergravity
• Glueball Regge trajectories and the Pomeron -- a lattice study --
• Glueball Regge trajectories from gauge/string duality and the Pomeron
• The glueball spectrum of SU(3) gauge theory in 3+1 dimension
• Linear square-mass trajectories of radially and orbitally excited hadrons in holographic QCD
• Dynamical holographic QCD with area-law confinement and linear Regge trajectories
• A dynamical holographic QCD model for chiral symmetry breaking and linear confinement
• Large N QCD from Rotating Branes
• Aspects of QCD Dynamics from String Theory
• Glueball spectra and Regge trajectories from a modified holographic softwall model
• Scalar hadrons in $Ad{S}_5\times S^5$
• Glueball Masses for the Deformed Conifold Theory
• Hadronic Spectra from Deformed AdS Backgrounds
• Glueball spectrum from $N_f=2$ lattice QCD study on anisotropic lattices
• Dynamical corrections to the anomalous holographic softwall model: the pomeron and the odderon
• Glueballs of Super Yang-Mills from Wrapped Branes
• Towards a Perfect QCD Gravity Dual
• Confinement, Glueballs and Strings from Deformed AdS
• Spin Two Glueball Mass and Glueball Regge Trajectory from Supergravity
• Holography Inspired Stringy Hadrons
• Odd spin glueball masses and the odderon Regge trajectories from the holographic hardwall model
• Meson and glueball spectroscopy within the graviton soft wall model
• Towards reconciling the holographic and lattice descriptions of radially excited hadrons
• Central exclusive diffractive production of a single photon in high-energy proton-proton collisions within the tensor-Pomeron approach
• Neutrino-nucleon DIS from Holographic QCD: PDFs of sea and valence quarks, form factors, and structure functions of the proton

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