2006/12/31 by Thomas Hambye, Babiker Hassanain, John March-Russell +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Chiral perturbation theory #Mathematical physics #Observable #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.76.125017
published as Phys.Rev.D76:125017,2007 · Published version, title changed to conform with Journal format, references and clarifying remarks added, 40 pages, 5 figures
arxiv created 2007/12/19 · openalex publication_date 2007/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the predictions of holographic QCD for various observable four-point quark-flavor current-current correlators. The dual 5-dimensional bulk theory we consider is a SU(3)L\ifmmode×\else\texttimes\fiSU(3)R Yang-Mills theory in a slice of AdS5 spacetime with boundaries. Particular UV and IR boundary conditions encode the spontaneous breaking of the dual 4D global chiral symmetry down to the SU(3)V subgroup. We explain in detail how to calculate the 4D four-point quark-flavor current-current correlators using the 5D holographic theory, including interactions. We use these results to investigate predictions of holographic QCD for the \ensuremathΔI=1/2 rule for kaon decays and the BK parameter. The results agree well in comparison with experimental data, with an accuracy of 25% or better. The holographic theory automatically includes the contributions of the meson resonances to the four-point correlators. The correlators agree well in the low-momentum and high-momentum limit, in comparison with chiral perturbation theory and perturbative QCD results, respectively.