Conservation laws and scattering for de Sitter classical particles

Abstract

Starting from an intrinsic geometric characterization of de Sitter timelike and lightlike geodesics we give a new description of the conserved quantities associated with classical free particles on the de Sitter manifold. These quantities allow for a natural discussion of classical pointlike scattering and decay processes. We also provide an intrinsic definition of energy of a classical de Sitter particle and discuss its different expressions in various local coordinate systems and their relations with earlier definitions found in the literature.

25 pages, 1 figure

References in corpus (17)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• The Cosmological Constant and Dark Energy
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Two-point Functions and Quantum Fields in de Sitter Universe
• Doubly Special Relativity and de Sitter space
• Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time
• de Sitter special relativity
• Lifetime of a massive particle in a de Sitter universe
• On Special Relativity with Cosmological Constant
• On Beltrami Model of de Sitter Spacetime
• A study of the centrally produced 4pi channel in pp interactions at 450 GeV/c
• The Triality of Conformal Extensions of Three Kinds of Special Relativity
• Cosmological Term and Fundamental Physics
• A study of the centrally produced 3pi channel in pp interactions at 450 GeV/c

Cited by in corpus (14)

• Triangular invariants, three-point functions and particle stability on the de Sitter universe
• Special Relativity in the 21${}^{\mathrm{st}}$ century
• de Sitter geodesics: reappraising the notion of motion
• de Sitter geodesics
• de Sitter relativity in central charts
• On the rest and flat limits of the scalar modes on the de Sitter spacetime
• de Sitter relativity: a natural scenario for an evolving Lambda
• Scattering of Quantum Particles in de Sitter Spacetime I: The Formalism
• de Sitter geodesics in stereographic charts
• Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams
• Collective classical motion on hyperbolic spacetimes of any dimensions
• Solvable two-particle systems with time-asymmetric interactions in de Sitter space
• Conserved quantities for the Sitter particles${}^{\ast }$
• De Sitter scattering amplitudes in the Born approximation