Relativistic dispersion relation and putative metric structure in noncommutative phase-space

Relativistic dispersion relation and putative metric structure in noncommutative phase-space

The deformation of the relativistic dispersion relation caused by noncommutative (NC) Quantum Mechanics (QM) is studied using the extended phase-space formalism. The introduction of the additional commutation relations induces Lorentz invariance violation. It is shown that this deformation does not...

Full description

Bibliographic Details
Main Authors: P. Leal, O. Bertolami
Format: Article
Language:English
Published: Elsevier 2019-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319302825
id doaj-25d8d47c1de4444587f1566e0cf04d78
record_format Article
spelling doaj-25d8d47c1de4444587f1566e0cf04d782020-11-25T02:32:46ZengElsevierPhysics Letters B0370-26932019-06-01793240246Relativistic dispersion relation and putative metric structure in noncommutative phase-spaceP. Leal0O. Bertolami1Corresponding author.; Departamento de Física e Astronomia and Centro de Física do Porto, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, PortugalDepartamento de Física e Astronomia and Centro de Física do Porto, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, PortugalThe deformation of the relativistic dispersion relation caused by noncommutative (NC) Quantum Mechanics (QM) is studied using the extended phase-space formalism. The introduction of the additional commutation relations induces Lorentz invariance violation. It is shown that this deformation does not affect the propagation speed of free massless particles. From the deformation of the dispersion relation for massless particles, gamma ray burst data is used to establish an upper bound on the noncommutative parameter, η, namely η≲10−12eV/c. Additionally, a putative metric structure for the noncommutative phase-space is discussed. Keywords: Noncommutativity, Symplectic, Phase-spacehttp://www.sciencedirect.com/science/article/pii/S0370269319302825
collection DOAJ
language English
format Article
sources DOAJ
author P. Leal
O. Bertolami
spellingShingle P. Leal
O. Bertolami
Relativistic dispersion relation and putative metric structure in noncommutative phase-space
Physics Letters B
author_facet P. Leal
O. Bertolami
author_sort P. Leal
title Relativistic dispersion relation and putative metric structure in noncommutative phase-space
title_short Relativistic dispersion relation and putative metric structure in noncommutative phase-space
title_full Relativistic dispersion relation and putative metric structure in noncommutative phase-space
title_fullStr Relativistic dispersion relation and putative metric structure in noncommutative phase-space
title_full_unstemmed Relativistic dispersion relation and putative metric structure in noncommutative phase-space
title_sort relativistic dispersion relation and putative metric structure in noncommutative phase-space
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2019-06-01
description The deformation of the relativistic dispersion relation caused by noncommutative (NC) Quantum Mechanics (QM) is studied using the extended phase-space formalism. The introduction of the additional commutation relations induces Lorentz invariance violation. It is shown that this deformation does not affect the propagation speed of free massless particles. From the deformation of the dispersion relation for massless particles, gamma ray burst data is used to establish an upper bound on the noncommutative parameter, η, namely η≲10−12eV/c. Additionally, a putative metric structure for the noncommutative phase-space is discussed. Keywords: Noncommutativity, Symplectic, Phase-space
url http://www.sciencedirect.com/science/article/pii/S0370269319302825
work_keys_str_mv AT pleal relativisticdispersionrelationandputativemetricstructureinnoncommutativephasespace
AT obertolami relativisticdispersionrelationandputativemetricstructureinnoncommutativephasespace
_version_ 1724817858870902784

Similar Items