97 citations · 696 across the 36 of their papers we have counts for
17 papers · 1 filter
Towards new relativistic doubly -deformed D=4 quantum phase spaces
Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi +2
We propose new noncommutative models of quantum phase spaces, containing a pair of -deformed Poincaré algebras, with two independent double ()-deformations in space-t…
Generalized Extended Uncertainty Principles, Liouville theorem and density of states: Snyder-de Sitter and Yang models
A. Pachoł
Modifications in quantum mechanical phase space lead to the changes in the Heisenberg uncertainty principle, which can result in the Generalized Uncertainty Principle (GUP) or the…
Doubly -deformed Yang models, Born-selfdual -deformed quantum phase spaces and two generalizations of Yang models
Jerzy Lukierski, Anna Pachoł
Recently it was shown that by using two different realizations of Lie algebra one can describe one-parameter standard Snyder model and two-parameter -deformed Sny…
From Snyder space-times to doubly -dependent Yang quantum phase spaces and their generalizations
Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi +2
We propose the doubly -dependent Yang quantum phase space which describes the generalization of Yang model. We postulate that such model is covariant under the generaliz…
-perturbative solutions of quantum Snyder and Yang models with parameters describing spontaneous symmetry breaking
Jerzy Lukierski, Anna Pachoł
We introduce the perturbative -power series ( = Planck constant) providing the algebraic solutions of quantum Snyder and Yang models which describe relativistic…
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…
Heisenberg doubles for Snyder type models
Stjepan Meljanac, Anna Pachoł
A Snyder model generated by the noncommutative coordinates and Lorentz generators close a Lie algebra. The application of the Heisenberg double construction is investigated for the…
Observables and Dispersion Relations in k-Minkowski Spacetime
Paolo Aschieri, Andrzej Borowiec, Anna Pachol
We revisit the notion of quantum Lie algebra of symmetries of a noncommutative spacetime, its elements are shown to be the generators of infinitesimal transformations and are natur…
Central tetrads and quantum spacetimes
Andrzej Borowiec, Tajron Juric, Stjepan Meljanac +1
In this paper, we perform a parallel analysis to the model proposed in [25]. By considering the central co-tetrad (instead of the central metric), we investigate the modifications…
Quantum deformations of the flat space superstring
Anna Pachol, Stijn J. van Tongeren
We discuss a quantum deformation of the Green-Schwarz superstring on flat space, arising as a contraction limit of the corresponding deformation of AdS_5 x S^5. This contraction li…
Twisted conformal algebra related to -Minkowski space
Stjepan Meljanac, Anna Pachol, Danijel Pikutic
Twisted deformations of the conformal symmetry in the Hopf algebraic framework are constructed. The first one is obtained by a Jordanian twist built up from dilatation and momenta…
Gauge Theory on Twisted -Minkowski: Old Problems and Possible Solutions
Marija Dimitrijevic, Larisa Jonke, Anna Pachol
We review the application of twist deformation formalism and the construction of noncommutative gauge theory on -Minkowski space-time. We compare two different types of twists:…
Different realizations of kappa-momentum space and relative-locality effect
Stjepan Meljanac, Anna Pachol, Andjelo Samsarov +1
We consider different realizations for the momentum sector of kappa-Poincare Hopf algebra, which is associated with a curved momentum space. We show that the notion of the particle…
Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime
D. Kovacevic, S. Meljanac, A. Pachol +1
We propose a generalized description for the kappa-Poincare-Hopf algebra as a symmetry quantum group of underlying kappa-Minkowski spacetime. We investigate all the possible implem…
Constraints on the quantum gravity scale from kappa - Minkowski spacetime
A. Borowiec, Kumar S. Gupta, S. Meljanac +1
We compare two versions of deformed dispersion relations (energy vs momenta and momenta vs energy) and the corresponding time delay up to the second order accuracy in the quantum g…
Classical basis for kappa-Poincare algebra and doubly special relativity theories
A. Borowiec, A. Pachol
Several issues concerning quantum kappa-Poincare algebra are discussed and reconsidered here. We propose two different formulations of kappa-Poincare quantum algebra. Firstly we pr…