Cornell potential in generalized Soft Wall holographic model

Abstract

We derive and analyze the confinement potential of the Cornell type within the framework of the generalized Soft Wall holographic model that includes a parameter controlling the intercept of the linear Regge spectrum. In the phenomenology of Regge trajectories, this parameter is very important for the quantitative description of experimental data. Our analysis shows that the ''linear plus Coulomb'' confinement potential obtained in the scalar channel is quantitatively consistent with the phenomenology and lattice simulations while the agreement in the vector channel is qualitative only. This result indicates the key role of the vacuum scalar sector in the formation of the confinement potential. As a by-product the overall consistency of our holographic description of confinement potential seems to confirm the glueball nature of the scalar meson $f_0(1500)$.

arXiv comment25 pages, 8 figures

References in corpus (24)

• Gauge Theory Correlators from Non-Critical String Theory
• Wilson loops in large N field theories
• Linear Confinement and AdS/QCD
• QCD forces and heavy quark bound states
• Light-Front Holographic QCD and Emerging Confinement
• Exploring improved holographic theories for QCD: Part II
• Heavy-Quark Potentials and AdS/QCD
• The QCD Running Coupling
• Four Sorts of Mesons
• Nonperturbative QCD Coupling and its $\beta$ function from Light-Front Holography
• 1/q^2 Corrections and Gauge/String Duality
• Effective confining potentials for QCD
• Universal Effective Hadron Dynamics from Superconformal Algebra
• Towards understanding broad degeneracy in non-strange mesons
• Generalizing the Noether theorem for Hopf-algebra spacetime symmetries
• Generalized Soft Wall Model
• The dynamical holographic QCD method for hadron physics and QCD matter
• Fourth-order QCD renormalization group quantities in the {\rm{V}}-scheme and the relation of the $\beta$-function to the Gell-Mann--Low function in QED
• Glueballs and deconfinement temperature in AdS/QCD
• AdS/QCD models describing a finite number of excited mesons with Regge spectrum
• Stringy Confining Wilson Loops
• Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons
• Towards reconciling the holographic and lattice descriptions of radially excited hadrons
• Gluon string breaking and meson spectrum in the holographic Soft Wall model

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• Hard confinement of a two-particle quantum system using the variational method
• Ultraviolet regularization of energy between two static sources in the bottom-up holographic approach to strong interactions
• On incorporation of heavy-quark mass into soft-wall holographic models