Confining potential in holographic bottom-up QCD from WKB

2025/01/03 by Contreras, Miguel Angel Martin, Fujita, Mitsutoshi, Vega, Alfredo
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2501.01755

Abstract

By using the 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.

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