Kinematics of particles with quantum-de Sitter-inspired symmetries
File(s)
Published version
Author(s)
Barcaroli, L
Gubitosi, G
Type
Journal Article
Abstract
We present the first detailed study of the kinematics of free relativistic particles whose symmetries are compatible with the ones described by a quantum deformation of the de Sitter algebra, known as q–de Sitter Hopf algebra. In such algebra, the quantum deformation parameter is a function of the Planck length ℓ and the de Sitter radius H−1, such that when the Planck length vanishes, the algebra reduces to the de Sitter algebra, while when the de Sitter radius is sent to infinity, one recovers the κ-Poincaré Hopf algebra. In the first limit, the picture is that of a particle with trivial momentum space geometry moving on de Sitter spacetime; in the second one, the picture is that of a particle with de Sitter momentum space geometry moving on Minkowski spacetime. When both the Planck length and the inverse of the de Sitter radius are nonzero, effects due to spacetime curvature and nontrivial momentum space geometry are both present and affect each other. The particles’ motion is then described in a full phase-space picture. We find that redshift effects that are usually associated with spacetime curvature become energy dependent. Also, the energy dependence of the particles’ travel times that is usually associated with momentum space nontrivial properties is modified in a curvature-dependent way.
Date Issued
2016-06-24
Date Acceptance
2016-06-05
Citation
Physical Review D, 2016, 93 (12)
ISSN
1550-7998
Publisher
American Physical Society
Journal / Book Title
Physical Review D
Volume
93
Issue
12
Copyright Statement
© 2016 American Physical Society
Subjects
Science & Technology
Physical Sciences
Astronomy & Astrophysics
Physics, Particles & Fields
Physics
DOUBLY SPECIAL RELATIVITY
POINCARE ALGEBRA
PLANCK-SCALE
FIELD-THEORY
PHENOMENOLOGY
DEFORMATION
SPACETIME
LENGTH
TESTS
gr-qc
Nuclear & Particles Physics
0201 Astronomical And Space Sciences
0202 Atomic, Molecular, Nuclear, Particle And Plasma Physics
0206 Quantum Physics
Publication Status
Published
Article Number
124063