Confining potential in holographic bottom-up QCD from WKB
arXiv:2501.01755 · doi:10.1016/j.nuclphysb.2026.117512
Abstract
By using the \emph{Rydberg--Klein--Rees} (RKR) formulas to solve the inverse Schrödinger problem, we found a confining bottom-up potential from a given eigenvalue spectrum. To illustrate this methodology, we consider the vector meson spectrum derived in the D3/D7 system as input data to derive the corresponding bottom-up confining potential that resembles the geometric structure of the so-called hardwall model. We compute some properties for this new bottom-up model, including the thermal deconfinement phase transition, the radial Regge trajectory, and the configurational entropy.
12 pages, 4 figures
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