Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking

Lukierski, Jerzy; Meljanac, Stjepan; Mignemi, Salvatore; Pachoł, Anna

doi:10.1016/j.physletb.2023.138261

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Yang Poisson Model1

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2023

2024

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Cited by 6 publications

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“…In this framework, the algebra (2.3)-(2.12) is generated by 15 coordinates. The corresponding realizations can be obtained from the quantum realizations of the generalized Yang models, presented in [6,9].…”

Section: Discussionmentioning

confidence: 99%

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Generalized Yang Poisson Models on Canonical Phase Space

Martinić Bilać,

Meljanac,

Mignemi

2024

SIGMA

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We discuss the generalized Yang Poisson models. We construct generalizations of the Yang Poisson algebra related to $\mathfrak{o}(1,5)$ algebra discussed by Meljanac and Mignemi (2023). The exact realizations of this generalized algebra on canonical phase space are presented and the corresponding differential equations are solved in simple cases. Furthermore, we discuss the Poisson algebras related to $\mathfrak{o}(3,3)$ and $\mathfrak{o}(2,4)$ algebras.

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Section: Discussionmentioning

confidence: 99%

“…Later, Snyder-de Sitter or triply special relativity model, where this symmetry is realized nonlinearly, was proposed in [1,3,5,14]. Realizations of the Yang model have been discussed in [6,8,10,11,13]. They cannot be obtained in closed analytic form, but only as power series in coupling constants.…”

Section: Yang Poisson Modelmentioning

confidence: 99%