Abstract
We put forward a new bottom-up AdS/QCD holographic model bearing a distinct treatment of the pion fields. We argue that a standard approach to the pion description is neither transparent nor totally satisfactory. In the paper we provide a new one based on a broadened realization of some holographic principles. The reasoning and the effect of these modifications are explained in detail. The resulting model has a different set of parameters than the standard AdS/QCD case. We use them to calculate an extensive list of QCD quantities and find a rather good agreement with the experimental data.
Highlights
A wide range of studies in the bottom-up anti–de Sitter (AdS)/QCD holography is devoted to the five-dimensional dual description of the light vector and scalar mesons in association with a realization of the chiral symmetry and the products of its breaking
We suggest introducing some reference operators with free coefficients and studying whether they are eliminated from the physical quantities or not
We have described the characteristics of dynamical fields in the scalar and vector sectors corresponding to ρ; a1; a0 and π mesons, analyzed the two-point functions and the structure of the pion and axial form factor (FF), and calculated several hadronic couplings
Summary
A wide range of studies in the bottom-up AdS/QCD holography is devoted to the five-dimensional dual description of the light vector and scalar mesons in association with a realization of the chiral symmetry and the products of its breaking. The two utilize conceptually distinct ways of implementing the bulk Lagrangian in the five-dimensional anti–de Sitter (AdS) space-time In these simplest setups it was attempted to describe the phenomenology of the vector sector and its interaction with the pions in Refs. In order to build a 5D model within the bottom-up approach, one mixes the established AdS=CFT prescriptions with various assumptions The latter might have a theoretical motivation, but the ultimate criterion for their validity is leading to a better phenomenological description for one or another aspect of QCD. In the common holographic setup, the Goldstone bosons turn out to be a part of the gauge field (playing the role of the “Higgs”) This is not the way chiral symmetry is broken in real QCD.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
