Free particle in deformed special relativity

Journal Article · Wed Feb 15 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.045009· OSTI ID:20776781

Girelli, Florian ^[1]; Konopka, Tomasz ^[1]; Kowalski-Glikman, Jerzy ^[2]; Livine, Etera R ^[1]

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1. Perimeter Institute, 31 Caroline Street North Waterloo, Ontario, N2L 2Y5 (Canada)
2. Institute for Theoretical Physics, University of Wroclaw, Pl. Maxa Borna 9, Pl-50-204 Wroclaw (Poland)

The phase space of a classical particle in deformed special relativity (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.

• OSTI ID: 20776781
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 4; Other Information: DOI: 10.1103/PhysRevD.73.045009; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DE SITTER GROUP
EQUATIONS OF MOTION
LORENTZ TRANSFORMATIONS
MANY-DIMENSIONAL CALCULATIONS
PHASE SPACE
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
RELATIVITY THEORY
VELOCITY