The Free Particle in Deformed Special Relativity

Abstract

The phase space of a classical particle in DSR contains de Sitter space as the space of momenta. We start from the standard relativistic particle in five dimensions with an extra constraint and reduce it to four dimensional DSR by imposing appropriate gauge fixing. We analyze some physical properties of the resulting theories like the equations of motion, the form of Lorentz transformations and the issue of velocity. We also address the problem of the origin and interpretation of different bases in DSR.

15 pages

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Cited by in corpus (41)

• Minimal Length Scale Scenarios for Quantum Gravity
• Planck-scale modified dispersion relations and Finsler geometry
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• Topics in Noncommutative Geometry Inspired Physics
• A Lagrangian for DSR Particle and the Role of Noncommutativity
• Deformed Symmetry in Snyder Space and Relativistic Particle Dynamics
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• Doubly special relativity in de Sitter spacetime
• High temperature dimensional reduction in Snyder space
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