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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.01755 |
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| _version_ | 1866911714700689408 |
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| author | Contreras, Miguel Angel Martin Fujita, Mitsutoshi Vega, Alfredo |
| author_facet | Contreras, Miguel Angel Martin Fujita, Mitsutoshi Vega, Alfredo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01755 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Confining potential in holographic bottom-up QCD from WKB Contreras, Miguel Angel Martin Fujita, Mitsutoshi Vega, Alfredo High Energy Physics - Phenomenology 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. |
| title | Confining potential in holographic bottom-up QCD from WKB |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2501.01755 |