English
Related papers

Related papers: Localizability in $\kappa$-Minkowski Spacetime

200 papers

Field theories on canonical noncommutative spacetimes, which are being studied also in connection with string theory, and on $\kappa$-Minkowski spacetime, which is a popular example of Lie-algebra noncommutative spacetime, can be naturally…

High Energy Physics - Theory · Physics 2017-08-23 Giovanni Amelino-Camelia , Michele Arzano , Luisa Doplicher

The $\kappa$-Minkoswki space-time provides a quantum noncommutative-deformation of the usual Minkowski space-time. However, a notion of causality is difficult to be defined in such a space with noncommutative time. In this paper, we define…

Mathematical Physics · Physics 2022-10-06 Nicolas Franco , Jean-Christophe Wallet

A quantum deformation of the conformal algebra of the Minkowskian spacetime in $(3+1)$ dimensions is identified with a deformation of the $(4+1)$-dimensional AdS algebra. Both Minkowskian and AdS first-order non-commutative spaces are…

High Energy Physics - Theory · Physics 2015-06-26 Angel Ballesteros , N Rossano Bruno , Francisco J. Herranz

In this paper, we study the thermal time hypothesis of arXiv:gr-qc/9406019 in the context of noncommutative deformations of Minkowski. We show that a natural modular group arises from the modular function of the momentum space. In the…

High Energy Physics - Theory · Physics 2025-02-19 Kilian Hersent

In the last decades, noncommutative spacetimes and their deformed relativistic symmetries have usually been studied in the context of field theory, replacing the ordinary Minkowski background with an algebra of noncommutative coordinates.…

High Energy Physics - Theory · Physics 2017-08-21 Alessandro Moia

In this paper we have analyzed the $\kappa$-deformed Minkowski spacetime through the light of the interference phenomena in QFT where two opposite chiral fields are put together in the same multiplet and its consequences are discussed. The…

High Energy Physics - Theory · Physics 2016-02-17 Vahid Nikoofard , Everton M. C. Abreu

Extending the commutator algebra of quantum $\kappa$-Poincar\'e symmetry to the whole of the phase space, and assuming that this algebra is to be covariant under action of deformed Lorentz generators, we derive the transformation properties…

High Energy Physics - Theory · Physics 2009-11-07 J. Kowalski-Glikman

We study boost and space-rotation transformations in kappa-Minkowski noncommutative spacetime, using the techniques that some of us had previously developed (hep-th/0607221) for a description of translations in kappa-Minkowski, which in…

High Energy Physics - Theory · Physics 2009-01-14 Giovanni Amelino-Camelia , Giulia Gubitosi , Antonino Marcianó , Pierre Martinetti , Flavio Mercati

We study the propagation of quantum fields on $\kappa$-Minkowsi spacetime. Starting from the non-commutative partition function for a free field written in momentum space we derive the Feynman propagator and analyze the non-trivial…

High Energy Physics - Theory · Physics 2018-12-05 Michele Arzano , Luca Tiberio Consoli

A recent study by Bojowald and Paily provided a path toward the identification of an effective quantum-spacetime picture of Loop Quantum Gravity, applicable in the "Minkowski regime", the regime where the large-scale (coarse-grained)…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Giovanni Amelino-Camelia , Malú Maira da Silva , Michele Ronco , Lorenzo Cesarini , Orchidea Maria Lecian

We describe the extension of the Wigner`s infinite-dimensional unitary representations of Poincar\'{e} group to the case of $\kappa$-deformed Poincar\'{e} group. We show that the corresponding coordinate wave functions on noncommutative…

High Energy Physics - Theory · Physics 2016-08-16 P. Kosiński , J. Lukierski , P. Maślanka

The $\rho$-Minkowski space-time, a Lie-algebraic deformation of the usual Minkowski space-time is considered. A star-product realization of this quantum space-time together with the characterization of the deformed Poincar\'e symmetry…

High Energy Physics - Theory · Physics 2026-02-06 Jean-Christophe Wallet

We discuss the construction of a free scalar quantum field theory on $\kappa$-Minkowski noncommutative spacetime. We do so in terms of $\kappa$-Poincar\'e-invariant $N$-point functions, i.e. multilocal functions which respect the deformed…

High Energy Physics - Theory · Physics 2022-11-22 Maria Grazia Di Luca , Flavio Mercati

I give a brief summary of the results reported in hep-th 0306013 in collaboration with G. Amelino-Camelia and F. D'Andrea. I focus on the analysis of the symmetries of $\kappa$-Minkowski noncommutative space-time, described in terms of a…

High Energy Physics - Theory · Physics 2009-11-10 Alessandra Agostini

We investigate a Lie algebra-type $ \kappa$-deformed Minkowski space-time with undeformed Lorentz algebra and mutually commutative vector-like Dirac derivatives. There are infinitely many realizations of $ \kappa$-Minkowski space. The…

High Energy Physics - Theory · Physics 2008-11-26 S. Meljanac , A. Samsarov , M. Stojic , K. S. Gupta

In this paper, we derive Lorentz force and Maxwell's equations on kappa-Minkowski space-time up to the first order in the deformation parameter. This is done by elevating the principle of minimal coupling to non-commutative space-time. We…

High Energy Physics - Theory · Physics 2012-02-10 E. Harikumar , T. Juric , S. Meljanac

In the study of certain noncommutative versions of Minkowski spacetime there is still a large ambiguity concerning the characterization of their symmetries. Adopting as our case study the kappaMinkowski noncommutative space-time, on which a…

High Energy Physics - Theory · Physics 2009-11-10 Alessandra Agostini , Giovanni Amelino-Camelia , Francesco D'Andrea

$\kappa$-deformed commutation relation between quantum operators is constructed via abelian twist deformation in $\kappa$-Minkowski spacetime. The commutation relation is written in terms of universal $R$-matrix satisfying braided…

High Energy Physics - Theory · Physics 2015-05-14 Hyeong-Chan Kim , Youngone Lee , Chaiho Rim

We discuss how the symmetries of $\kappa$-Minkowski non-commutative spacetime can be described by the $\kappa$-Poincar\'e Hopf algebra. In particular, we focus on a generalization of the Noether analysis in the $\kappa$-deformed framework…

High Energy Physics - Theory · Physics 2008-11-26 Michele Arzano

We describe $\kappa$-Minkowski space and its relation to group theory. The group theoretical picture makes it possible to analyze the symmetries of this space. As an application of this analysis we analyze in detail free field theory on…

High Energy Physics - Theory · Physics 2007-10-16 Laurent Freidel , Jerzy Kowalski-Glikman