Chiral effective theories from holographic QCD with scalars

Abstract

We develop a method for integrating out the heavy Kaluza-Klein modes of scalar type as well as those of vector and axial-vector types, in a class of hard-wall bottom-up approaches of holographic QCD models, including the Dirac-Born-Infeld and Chern-Simons parts. By keeping only the lowest-lying vector mesons, we first obtain an effective chiral Lagrangian of the vector mesons based on the hidden local symmetry, and all the low-energy constants in the HLS Lagrangian are expressed in terms of holographic integrals and, consequently, are fully determined by the holographic geometry and a few constants of mesons. We find that the Gell-Mann--Oakes--Renner relation is manifestly reproduced at the lowest order of derivative expansion. We also explicitly show that a naive inclusion of the Chern-Simons term cannot reproduce the desired chiral anomaly in QCD, and hence, some counterterms should be provided: This implies that the holographic QCD models of hard-wall type cannot give definite predictions for the intrinsic parity-odd vertices involving vector and axial-vector mesons. After integrating out the vector mesons from the HLS Lagrangian, we further obtain the Lagrangian of chiral perturbation theory for pseudoscalar mesons with all the low-energy constants fully determined.

arXiv comment14 pages, published version

References in corpus (24)

• Gauge Theory Correlators from Non-Critical String Theory
• Low energy hadron physics in holographic QCD
• QCD and a Holographic Model of Hadrons
• 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
• QCD and dimensional deconstruction
• Interpolating between low and high energy QCD via a 5D Yang-Mills model
• The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking
• Geometric approach to condensates in holographic QCD
• Holographic QCD: Past, Present, and Future
• Anomalous Form Factor of the Neutral Pion in Extended AdS/QCD Model with Chern-Simons Term
• AdS/QCD Phenomenological Models from a Back-Reacted Geometry
• Dense Baryonic Matter in Hidden Local Symmetry Approach: Half-Skyrmions and Nucleon Mass
• Holographic Techni-dilaton
• Chiral Perturbation to One Loop Including the $\rho$ Meson
• Skyrmions with vector mesons in the hidden local symmetry approach
• Hidden Local Symmetry and Infinite Tower of Vector Mesons for Baryons
• Three Flavour QCD from the Holographic Principle
• Implications of Holographic QCD in ChPT with Hidden Local Symmetry
• Holography, chiral Lagrangian and form factor relations
• Holographic QCD Integrated back to Hidden Local Symmetry
• Enhancement of Chiral Symmetry Breaking from the Pion condensation at finite isospin chemical potential in a holographic QCD model
• Gluonic Effects on g-2: Holographic View

Cited by in corpus (4)

• (Phenomenology/Lattice-Compatible) $SU(3)$ M$\chi$PT HD up to $\mathcal{O}(p^4)$ and the $\mathcal{O}\left(R^4\right)$-Large-$N$ Connection
• Revisiting the chiral effective action in holographic models
• Finite density nuclear matter and neutron stars in hard-wall AdS/QCD model
• String/$\mathcal{M}$-theory Dual of Large-$N$ Thermal QCD-Like Theories at Intermediate Gauge/'t Hooft Coupling and Holographic Phenomenology