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Holographic QCD integrated back to hidden local symmetry

Holographic QCD integrated back to hidden local symmetry,10.1103/PhysRevD.82.076010,Physical Review D,Masayasu Harada,Shinya Matsuzaki,Koichi Yamawaki

Holographic QCD integrated back to hidden local symmetry   (Citations: 2)
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We develop a previously proposed gauge-invariant method to integrate out an infinite tower of Kaluza-Klein (KK) modes of vector and axial-vector mesons in a class of models of holographic QCD (HQCD). The HQCD is reduced by our method to chiral perturbation theory with 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 O(p4) terms as well as the O(p2) terms from the Dirac-Born-Infeld part and the anomaly-related (intrinsic-parity odd) gauge-invariant terms from the Chern-Simons part. Effects of higher KK modes are fully included in these terms. To demonstrate the power of our method, we compute momentum dependences of several form factors, such as the pion electromagnetic form factors, and the pi0-gamma and omega-pi0 transition form factors, compared with experiment, which was not achieved before due to the complication of handling infinite sums. We also study other anomaly-related quantities like gamma*-pi0-pi+-pi- and omega-pi0-pi+-pi- vertex functions.
Journal: Physical Review D - PHYS REV D , vol. 82, 2010
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