Comparison between holographic deformed AdS and soft wall models for fermions
arXiv:2306.17315 · doi:10.1103/PhysRevD.108.106008
Abstract
We compare the holographic dressed soft wall and the exponentially deformed AdS models for spin 1/2 fermions. We present the dressed soft wall model and its analytical solutions for the left and right modes, and the corresponding spectra, also including modifications considering hyperfine spin-spin and meson cloud interactions, as well as anomalous dimensions. Then, we discuss the deformed AdS model for spin 1/2 fermions and present their effective Schrödinger equations for the left and right modes, for which only numerical solutions are available. Then, we consider a polynomial expansion of the effective potential of the deformed AdS model and show that in the quadratic approximation it leads to exact analytical solutions comparable with the dressed soft wall model and obtain the corresponding spectra for left and right modes. We show a numerical comparison of the mass spectra of spin 1/2 baryons for the dressed soft wall and the deformed AdS models. We present a detailed relation between the quadratic approximation of the deformed AdS and the dressed soft wall models for their spectra, wave functions and comments on the deep inelastic scattering on both models. We find that these two models are {\sl not} equivalent even in the quadratic approximation, but it is possible to relate their left and right modes for particular choices of their parameters.
arXiv comment28 pages, 1 Table, no figures. New sections with new results included
References in corpus (37)
- Large N Field Theories, String Theory and Gravity
- The World as a Hologram
- QCD and a Holographic Model of Hadrons
- Linear Confinement and AdS/QCD
- Hard Scattering and Gauge/String Duality
- Exploring improved holographic theories for QCD: Part II
- Deep Inelastic Scattering and Gauge/String Duality
- Exploring improved holographic theories for QCD: Part I
- Hadronic Spectrum of a Holographic Dual of QCD
- Heavy-Quark Potentials and AdS/QCD
- Nucleon electromagnetic and gravitational form factors from holography
- Light scalar mesons in the soft-wall model of AdS/QCD
- Light and heavy mesons in a soft-wall holographic approach
- 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
- Dynamical holographic QCD model for glueball and light meson spectra
- Glueball Regge trajectories from gauge/string duality and the Pomeron
- Spectroscopy of fermionic operators in AdS/CFT
- On the sign of the dilaton in the soft wall models
- Deep inelastic scattering from gauge string duality in the soft wall model
- Hadronic Spectra from Deformed AdS Backgrounds
- Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method
- Dynamical corrections to the anomalous holographic softwall model: the pomeron and the odderon
- Anomalous dimensions and scalar glueball spectroscopy in AdS/QCD
- Fermions and baryons as open-string states from brane junctions
- Light composite fermions from holography
- Deep inelastic scattering of baryons in a modified soft wall model
- Proton Structure Functions from an AdS/QCD model with a deformed background
- Quark-antiquark potential from a deformed AdS/QCD
- Scalar and higher even spin glueball masses from an anomalous modified holographic model
- Proton and neutron form factors from deformed gravity/gauge duality
- Fluctuation and Dissipation from a Deformed String/Gauge Duality Model
- Fluctuation and dissipation within a deformed holographic model with backreaction
- Fermionic and bosonic fluctuation-dissipation theorem from a deformed AdS holographic model at finite temperature and chemical potential
- Neutrino-nucleon DIS from Holographic QCD: PDFs of sea and valence quarks, form factors, and structure functions of the proton