Confining potential in holographic bottom-up QCD from WKB

Nuclear Physics B 2026 Open access

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Authors: Miguel Ángel Martín Contreras, Mitsutoshi Fujita, Alfredo Vega
DOI: 10.1016/j.nuclphysb.2026.117512
Cited by: 2
References: 50

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 $ρ$ radial Regge trajectory, and the configurational entropy.

Fields of Study & Subjects

Advanced Optical Imaging Technologies

Publication details

Journal / source
Nuclear Physics B
Publisher
Elsevier BV
Volume
1029
Pages
117512–117512
Publication date
25 May 2026
Language
EN