Isospectral transformations in softwall AdS/QCD allow tuning the rho meson's decay constant to its experimental value of 226 MeV, producing a predicted melting temperature of 157 MeV from spectral function computations at finite temperature and chemical potential.
Confining potential in holographic bottom-up QCD from WKB
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abstract
By using the \emph{Rydberg--Klein--Rees} (RKR) formulas to solve the inverse Schr\"{o}dinger 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 $\rho$ radial Regge trajectory, and the configurational entropy.
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2026 1verdicts
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Thermodynamics of the Isospectral family of holographic vector mesons
Isospectral transformations in softwall AdS/QCD allow tuning the rho meson's decay constant to its experimental value of 226 MeV, producing a predicted melting temperature of 157 MeV from spectral function computations at finite temperature and chemical potential.