Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Mignemi, Salvatore"'
We propose new noncommutative (NC) models of quantum phase spaces, containing a pair of $\kappa$-deformed Poincar\'e algebras, with two independent $\kappa$ and $\tilde{\kappa}$-deformations in space-time and fourmomenta sectors. The first quantum ph
Externí odkaz:
http://arxiv.org/abs/2410.02339
Triply Special Relativity is a deformation of Special Relativity based on three fundamental parameters, that describes a noncommutative geometry on a curved spacetime, preserving the Lorentz invariance and the principle of relativity. Its symmetries
Externí odkaz:
http://arxiv.org/abs/2407.10616
Publikováno v:
SIGMA 20 (2024), 049, 10 pages
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
Externí odkaz:
http://arxiv.org/abs/2403.05464
Publikováno v:
Physics Letters B, 138729 (2024)
We propose the doubly $\kappa$-dependent Yang quantum phase space which describes the generalization of $D = 4$ Yang model. We postulate that such model is covariant under the generalized Born map, what permits to derive this new model from the earli
Externí odkaz:
http://arxiv.org/abs/2311.16994
We discuss here how, when higher-order effects in the parameter $\frac{\ell}{\hbar} |\vec{p}|$, related to the lattice spacing $\ell$, are considered, pristine graphene, and other Dirac materials, can be used as tabletop systems where generalized com
Externí odkaz:
http://arxiv.org/abs/2302.00677
Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking
We propose $\hbar$-expansions as perturbative solutions of quantum extended Snyder and Yang models, with $\hbar$-independent classical zero-th order terms responsible for the spontaneous breaking of $D=4$ and $D=5$ de Sitter symmetries. In such model
Externí odkaz:
http://arxiv.org/abs/2212.02316
Publikováno v:
Physics Letters B, Volume 838, 137709, 2023
We describe, in an algebraic way, the $\kappa$-deformed extended Snyder models, that depend on three parameters $\beta, \kappa$ and $\lambda$, which in a suitable algebra basis are described by the de Sitter algebras ${o}(1,N)$. The commutation relat
Externí odkaz:
http://arxiv.org/abs/2208.06712
Publikováno v:
Phys. Rev. D 106 (2022) 116011
We show that graphene, in its simplest form and settings, is a practical table-top realization of the analog of exotic quantum gravity scenarios, which are speculated to lead to certain generalized Heisenberg algebras. In particular, we identify thre
Externí odkaz:
http://arxiv.org/abs/2208.02237
Autor:
Gubitosi, Giulia, Mignemi, Salvatore
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 diffeomorphisms, produce the same physical predictions is still debated.
Externí odkaz:
http://arxiv.org/abs/2112.04920
We analyze the model of a self-interacting $\phi^4_{\star}$ scalar field theory in Snyder-de Sitter space. After analytically computing the one-loop beta functions {in the small noncommutativity and curvature limit}, we solve numerically the correspo
Externí odkaz:
http://arxiv.org/abs/1911.08921