Glueball-Meson Mixing In Holographic QCD
arXiv:2202.12963 · doi:10.1007/JHEP06(2022)029
Abstract
Top-down holographic QCD models often work in the "probe" (or "quenched") limit, which assumes that the number of colors is much greater than the number of flavors. Relaxing this limit is essential to a fuller understanding of holography and more accurate phenomenological predictions. In this work, we focus on a mixing of glueball and meson mass eigenstates that arises from the DBI action as a finite Nf/Nc effect. For concreteness, we work in the Witten-Sakai-Sugimoto model, and show that this mixing must be treated in conjunction with the backreaction of the flavor branes onto the background geometry. Including the backreaction with the simplification that it is "smeared out" over the compact transverse direction, we derive a corrected effective action for the vector glueball and scalar states. Along the way, we observe a Stueckelberg-like mechanism that restores translation invariance in the transverse direction. We also derive a general technique, that lends itself easily to numerics, for finding mass eigenstates of Lagrangians with vector-scalar mixing. We then calculate the first order corrections to the mass spectra of both the vector and scalar particles, and show that the term that explicitly mixes vector and scalar states is the most significant correction to the masses of low-lying scalar mesons.
arXiv comment33 pages, 2 figures. Typos corrected and references added
References in corpus (19)
- Low energy hadron physics in holographic QCD
- Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
- I-Brane Inflow and Anomalous Couplings on D-Branes
- Is a Scalar Glueball?
- Glueball Spectrum for QCD from AdS Supergravity Duality
- Improved Holographic QCD
- Unquenched Flavors in the Klebanov-Witten Model
- Is f0(1710) a glueball?
- Scalar Glueball-qqbar Mixing above 1 GeV and implications for Lattice QCD
- The glueball spectrum of SU(3) gauge theory in 3+1 dimension
- Holographic Duals of Flavored N=1 Super Yang-Mills: Beyond the Probe Approximation
- Glueball Decay Rates in the Witten-Sakai-Sugimoto Model
- The D3/D7 Background and Flavor Dependence of Regge Trajectories
- Glueball Decay in Holographic QCD
- Mesons as Open Strings in a Holographic Dual of QCD
- Localized Backreacted Flavor Branes in Holographic QCD
- Unquenched massive flavors and flows in Chern-Simons matter theories
- Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD
- Holography for field theory solitons