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

Lukierski, Jerzy; Meljanac, Stjepan; Mignemi, Salvatore; Pachoł, Anna (2023) Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking. Physics Letters B, 847 . ISSN 0370-2693

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Abstract

We propose ħ-expansions as perturbative solutions of quantum extended Snyder and Yang models, with ħ-independent classical zero-th order terms responsible for the spontaneous breaking of D = 4 and D =5 de Sitter symmetries. In such models, with algebraic basis spanned by o(D,1) Lie algebra generators, we relate the vacuum expectation values (VEV) of the spontaneously broken generators with the Abelian set of ten (Snyder, D = 4) or fifteen (Yang, D = 5) antisymmetric tensorial generalized coordinates, which are also used as zero order input for obtaining the perturbative solutions of quantum extended Snyder and Yang models. In such a way we will attribute to these Abelian generalized coordinates the physical meaning of the order parameters describing spontaneous symmetry breaking (SSB). It appears that the consecutive terms in ħ-power series can be calculated explicitly if we supplement the SSB order parameters by the dual set of tensorial commutative momenta.

Item Type:	Article
Uncontrolled Keywords:	quantum extended Snyder model; quantum extended Yang model; spontaneous symmetry breaking
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Depositing User:	Ivana Vuglec
Date Deposited:	27 Mar 2026 13:58
URI:	http://fulir.irb.hr/id/eprint/11528
DOI:	10.1016/j.physletb.2023.138261

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