Abstract
The holographic recipe for the calculation of decay constants is revisited. Starting from the holographic 2-point function and using the fact that normalizable bulk modes scale as $z^{\Delta-S}$, with $S$ the spin, we can obtain a consistent expression that depends on the value of the mode at the boundary, not the derivative. We apply our decay constant expression to other AdS/QCD (static and dynamic) models proving its consistency. We also demonstrated that our approach is equivalent to the usual holographic prescription.
Highlights
One of the most interesting and prolific applications of the anti–de Sitter (AdS)=CFT correspondence [1,2] is the holographic description of QCD that can be done with two possible methodologies: top-down or bottom-up models
In the scalar meson case, the two-point function, and the decay constant, has a z−3 factor coming from the geometry, that makes unstable any result computed: small changes in the numerical tolerance are translated into bigger numerical errors in the holographic decay constant
In this work we have developed an alternative form to calculate decay constants, avoiding the numerical interference attached to derivatives and divergent quantities near to the conformal boundary
Summary
One of the most interesting and prolific applications of the AdS=CFT correspondence [1,2] is the holographic description of QCD that can be done with two possible methodologies: top-down or bottom-up models. In the scalar meson case, the two-point function, and the decay constant, has a z−3 factor coming from the geometry, that makes unstable any result computed: small changes in the numerical tolerance are translated into bigger numerical errors in the holographic decay constant. As a direct conclusion, the holographic decay constants depend only on three aspects: the value of the dilaton field at the boundary, the normalization constant coming from the bulk action, and the value of the eigenmode solution at the origin. This reduces the numerical error due to the derivative calculations.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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 call
