Holographic QCD Integrated back to Hidden Local Symmetry

Abstract

We develop a previously proposed gauge-invariant method to integrate out infinite tower of Kaluza-Klein (KK) modes of vector and axialvector mesons in a class of models of holographic QCD (HQCD). The HQCD is reduced by our method to the chiral perturbation theory with the hidden local symmetry (HLS) having only the lowest KK mode identified as the HLS gauge boson. We take the Sakai-Sugimoto model as a concrete HQCD, and completely determine the $\mathcal{O}(p^4)$ terms as well as the $\mathcal{O}(p^2)$ terms from the DBI part and the anomaly-related (intrinsic parity odd) gauge-invariant terms from the CS part. Effects of higher KK modes are fully included in these terms. To demonstrate power of our method, we compute momentum-dependences of several form factors such as the pion electromagnetic form factors, the ${\pi }^0$-$\gamma$ and $\omega$-${\pi }^0$ transition form factors compared with experiment, which was not achieved before due to complication to handle infinite sums. We also study other anomaly-related quantities like ${\gamma }^{\ast }$-${\pi }^0$-${\pi }^{+}$-${\pi }^{-}$ and $\omega$-${\pi }^0$-${\pi }^{+}$-${\pi }^{-}$ vertex functions.

arXiv comment4 eps figures, 37 pages, latex, typos fixed; some discussions and references added; fig.4 replaced

References in corpus (33)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Low energy hadron physics in holographic QCD
• QCD and a Holographic Model of Hadrons
• (De)Constructing Dimensions
• Chiral symmetry breaking from five dimensional spaces
• More on a holographic dual of QCD
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Mesons in Gauge/Gravity Duals - A Review
• Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes
• Measurement of the Charged Pion Electromagnetic Form Factor
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• QCD and dimensional deconstruction
• Determination of the pion charge form factor for Q^2=0.60-1.60 GeV^2
• Study of the electromagnetic transition form-factors in η-> μ^+μ^-γand ω-> μ^+μ^-π^0 decays with NA60
• Dynamics of Baryons from String Theory and Vector Dominance
• Holographic Model for Hadrons in Deformed AdS5 Background
• Baryons in AdS/QCD
• Baryons in Holographic QCD
• Nucleon Form Factors and Hidden Symmetry in Holographic QCD
• $S$ Parameter in the Holographic Walking/Conformal Technicolor
• Chiral Perturbation to One Loop Including the $\rho$ Meson
• Implications of Holographic QCD in ChPT with Hidden Local Symmetry
• Study of the $\rho$ and $\omega$ meson decays into pseudoscalar meson and $e^{+}{e}^{-}$ pair with the CMD-2 detector
• Dilatons in Hidden Local Symmetry for Hadrons in Dense Matter
• Hidden Local Field Theory and Dileptons in Relativistic Heavy Ion Collisions
• Formulations of spin 1 resonances in the chiral lagrangian
• W_L W_L Scattering in Higgsless Models: Identifying Better Effective Theories
• Novel spectral broadening from vector--axial-vector mixing in dense matter
• A novel spectral broadening from vector--axial-vector mixing in dense matter
• Consequences of the partial restoration of chiral symmetry in AdS/QCD
• Dual technicolor with hidden local symmetry

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