arXiv · 1003.1070
Integrating out Holographic QCD back to Hidden Local Symmetry
Abstract
We develop a previously proposed gauge-invariant method to integrate out infinite towers of vector and axialvector mesons arising as Kaluza-Klein (KK) modes in a class of holographic models of QCD (HQCD). We demonstrate that HQCD can be reduced to the chiral perturbation theory (ChPT) with the hidden local symmetry (HLS) (so-called HLS-ChPT) having only the lowest KK mode identified as the HLS gauge boson, and the Nambu-Goldstone bosons. The ${\cal O} (p^4)$ terms in the HLS-ChPT are completely determined by integrating out infinite towers of vector/axialvector mesons in HQCD: Effects of higher KK modes are fully included in the coefficients. As an example, we apply our method to the Sakai-Sugimoto model.
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M. Harada, S. Matsuzaki, K. Yamawaki. 2010-03-04. Integrating out Holographic QCD back to Hidden Local Symmetry. https://doi.org/10.1142/9789814329521_0007
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