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Fuzzy onionlike space as a matrix model

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KOVÁČIK Samuel TEKEL Juraj

Rok publikování 2024
Druh Článek v odborném periodiku
Časopis / Zdroj Physical review D
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://journals.aps.org/prd/abstract/10.1103/PhysRevD.109.105004
Doi http://dx.doi.org/10.1103/PhysRevD.109.105004
Klíčová slova Noncommutative field theories; Noncommutative geometry
Popis We propose a matrix model realization of a three-dimensional quantum space. It has an onionlike structure composed of concentric fuzzy spheres of increasing radius. The angular part of the Laplace operator is inherited from that of the fuzzy sphere. The radial part is constructed using operators that relate matrices of various sizes using the matrix harmonic expansion. As an example of this approach, we produce a numerical simulation of a scalar quantum field theory, the classical heat transfer, study the quantummechanical hydrogen atom, and consider some analytical aspects of the scalar field theory on this space.
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