No-Wall Holographic Model for QCD

Abstract

We propose a new type of bottom-up holographic model describing the Regge like spectrum of mesons. This type of spectrum emerges due to condensation of a scalar field in the bulk anti-de Sitter space. The gauge invariance of the action describing the vector mesons requires that the bulk scalar field must correspond to an operator of canonical dimension two. This is not necessary for the description of the scalar sector where the generation of the mass spectrum can be directly related to the formation of gluon condensate in QCD. It is also demonstrated that such an explicit introduction of local dim2 operator into the model leads to disappearance of the corresponding contribution from the dim2 condensate in the power expansion of the gauge-invariant vector correlator as required by QCD.

10 pages, the paper is significantly modified, the relevance of dim2 operator is emphasized

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• Generalized Soft Wall Model
• The quark masses and meson spectrum: A holographic approach
• Holographic model for heavy vector meson masses
• Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons
• Soft wall model with inverse exponential profile as a model for the axial and pseudoscalar mesons
• Gluon string breaking and meson spectrum in the holographic Soft Wall model
• Soft wall model for a holographic superconductor
• The no-wall holographic model for vector quarkonia
• The case of equivalence of low and high energy constraints on Regge vector spectrum in AdS/QCD
• On incorporation of heavy-quark mass into soft-wall holographic models