Zobrazeno 1 - 10
of 280
pro vyhledávání: '"Jerzy LUKIERSKI"'
Publikováno v:
Physics Letters B, Vol 854, Iss , Pp 138729- (2024)
We propose the doubly κ-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 earlier propose
Externí odkaz:
https://doaj.org/article/66adeb4eaeb6415e9c0aecf85db790ed
Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking
Publikováno v:
Physics Letters B, Vol 847, Iss , Pp 138261- (2023)
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 algebr
Externí odkaz:
https://doaj.org/article/dac49d1e2800432ea6c53eb23a6ce6fd
Publikováno v:
Physics Letters B, Vol 838, Iss , Pp 137709- (2023)
We describe, in an algebraic way, the κ-deformed extended Snyder models, that depend on three parameters β,κ and λ, which in a suitable algebra basis are described by the de Sitter algebras o(1,N). The commutation relations of the algebra contain
Externí odkaz:
https://doaj.org/article/4e0a91f1a7b344da8cdfb7764d268a74
Publikováno v:
Journal of High Energy Physics, Vol 2020, Iss 9, Pp 1-42 (2020)
Abstract Following the recently obtained complete classification of quantum-deformed o $$ \mathfrak{o} $$ (4), o $$ \mathfrak{o} $$ (1, 3) and o $$ \mathfrak{o} $$ (2) algebras, characterized by classical r-matrices, we study their inhomogeneous D =
Externí odkaz:
https://doaj.org/article/85b6306402a144fba986fe15ce43e7dc
Autor:
Jerzy Lukierski, Mariusz Woronowicz
Publikováno v:
Physics Letters B, Vol 824, Iss , Pp 136783- (2022)
The relativistic Lorentz-covariant quantum space-times obtained by Snyder can be described by the coset generators of (anti) de-Sitter algebras. Similarly, the Lorentz-covariant quantum phase spaces introduced by Yang, which contain additionally quan
Externí odkaz:
https://doaj.org/article/2b2541eda64246acbc964d2a810d52ea
Autor:
Richard Kerner, Jerzy Lukierski
Publikováno v:
Nuclear Physics B, Vol 972, Iss , Pp 115529- (2021)
In the current version of QCD the quarks are described by ordinary Dirac fields, organized in the following internal symmetry multiplets: the SU(3) colour, the SU(2) flavour, and broken SU(3) providing the family triplets. In this paper we argue that
Externí odkaz:
https://doaj.org/article/12cc7c41e75f47238add1a079a1dbd3f
Autor:
Richard Kerner, Jerzy Lukierski
Publikováno v:
Physics Letters B, Vol 792, Iss , Pp 233-237 (2019)
We propose a modification of standard QCD description of the colour triplet of quarks by introducing a 12-component colour generalization of Dirac spinor, with built-in Z3 grading playing an important algebraic role in quark confinement. In “colour
Externí odkaz:
https://doaj.org/article/55dd80eae7fb47979f3600a000d834b9
Publikováno v:
Physics Letters B, Vol 789, Iss , Pp 82-87 (2019)
We consider the generalized (10+10)-dimensional D=4 quantum phase spaces containing translational and Lorentz spin sectors associated with the dual pair of twist-quantized Poincare Hopf algebra H and quantum Poincare Hopf group Gˆ. Two Hopf algebroi
Externí odkaz:
https://doaj.org/article/ed30e34cf3f64762b4dd5ed72fcf6aa4
Publikováno v:
Journal of High Energy Physics, Vol 2018, Iss 5, Pp 1-43 (2018)
Abstract We consider the general N=4 $$ \mathcal{N}=4 $$, d = 3 Galilean superalgebra with arbitrary central charges and study its dynamical realizations. Using the nonlinear realization techniques, we introduce a class of actions for N=4 $$ \mathcal
Externí odkaz:
https://doaj.org/article/b9e5044381fc42ad89a6381442a9c1a8
Publikováno v:
Physics Letters B, Vol 777, Iss , Pp 1-7 (2018)
We consider new Abelian twists of Poincare algebra describing nonsymmetric generalization of the ones given in [1], which lead to the class of Lie-deformed quantum Minkowski spaces. We apply corresponding twist quantization in two ways: as generating
Externí odkaz:
https://doaj.org/article/e8852f4ae53a410ca37d95d5d49d5e6d