Publication: Potentials on the conformally compactified Minkowski spacetime and their application to quark deconfinement
Date
2024-05-15
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info:eu-repo/semantics/openAccess
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World Scientific
Abstract
We study a class of conformal metric deformations in the quasi-radial coordinate parameterizing the 3-sphere in the conformally compactified Minkowski spacetime S1 ×S3. Prior to reduction of the associated Laplace-Beltrami operators to a Schr¨odinger form, a corresponding class of exactly solvable potentials (each one containing a scalar and a gradient term) is found. In particular, the scalar piece of these potentials can be exactly or quasi-exactly solvable, and among them we find the finite range confining trigonometric potentials of P¨oschl-Teller, Scarf and Rosen-Morse. As an application of the results developed in the paper, the large compactification radius limit of the interaction described by some of these potentials is studied, and this regime is shown to be relevant to a quantum mechanical quark deconfinement mechanism.
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This is a Submitted Manuscript of an article published by World Scientific in "International Journal of Geometric Methods in Modern Physics VOL. 21, NO. 11, 2024", available at: https://doi.org/10.1142/S0219887824501913
Este es el manuscrito enviado del artículo publicado por World Scientific en "International Journal of Geometric Methods in Modern Physics VOL. 21, NO. 11, 2024", disponible en línea: https://doi.org/10.1142/S0219887824501913
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Keywords
Conformal symmetry, exactly and quasi-exactly solvable potentials, quark confinement
Citation
Kirchbach, Mariana; Vallejo Rodríguez, José Antonio; Potentials on the conformally compactified Minkowski spacetime and their application to quark deconfinement, International Journal of Geometric Methods in Modern Physics Vol. 21, Issue No. 11, Article No. 2450191, 2024. https://doi.org/10.1142/S0219887824501913
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Facultades y escuelas::Facultad de Ciencias
Department
Matemáticas Fundamentales