Antisymmetric tensors in holographic approaches to QCD

Abstract

We study real (massive) antisymmetric tensors of rank two in holographic models of QCD based on the gauge/string duality. Our aim is to understand in detail how the AdS/CFT correspondence describes correlators with tensor currents in QCD. To this end we study a set of bootstrapped correlators with spin-1 vector and tensor currents, imposing matching to QCD at the partonic level. We show that a consistent description of this set of correlators yields a very predictive picture. For instance, it imposes strong constraints on infrared boundary conditions and precludes the introduction of dilatonic backgrounds as a mechanism to achieve linear confinement. Additionally, correlators with tensor currents turn out to be especially sensitive to chiral symmetry breaking, thus offering an ideal testing ground for genuine QCD effects. Several phenomenological consequences are explored, such as the nontrivial interplay between $1^{+-}$ states and conventional $1^{--}$ vector mesons.

arXiv comment15 pages, 2 figures. Minor changes to match the journal version

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• Completing the framework of AdS/QCD: h_1/b_1 mesons and excited omega/rho's
• Vector-axial vector correlators in weak electric field and the holographic dynamics of the chiral condensate
• More on the Tensor Response of the QCD Vacuum to an External Magnetic Field
• On Anomaly Matching and Holography
• Lurking pseudovectors below the TeV scale
• Low-energy photon and pion scattering in holographic QCD