238 citations · 1.8k across the 70 of their papers we have counts for
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Realizations of the Yang-Poisson model on canonical phase space
S. Meljanac, S. Mignemi
We discuss exact realizations of the Yang-Poisson model on canonical phase space. The Yang model is an example of noncommutative geometry on a background spacetime of constant curv…
Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking
Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi +1
We propose -expansions as perturbative solutions of quantum extended Snyder and Yang models, with -independent classical zero-th order terms responsible for the spont…
Generalized quantum phase spaces for the -deformed extended Snyder model
Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi +1
We describe, in an algebraic way, the -deformed extended Snyder models, that depend on three parameters and , which in a suitable algebra basis are described by the de…
Generalizations of Snyder model to curved spaces
S. Meljanac, S. Mignemi
We consider generalizations of the Snyder algebra to a curved spacetime background with de Sitter symmetry. As special cases, we obtain the algebras of the Yang model and of triply…
Diffeomorphisms in momentum space: physical implications of different choices of momentum coordinates in the Galilean Snyder model
Giulia Gubitosi, Salvatore Mignemi
It has been pointed out that different choices of momenta can be associated to the same noncommutative spacetime model. The question of whether these momentum spaces, related by di…
The Snyder-de Sitter Scalar Quantum Field Theory in D=2
S. A. Franchino-Viñas, S. Mignemi
We study the two-dimensional version of a quartic self-interacting quantum scalar field on a curved and noncommutative space (Snyder-de Sitter). We show that the model is renormali…