An arena for model building in the Cohen-Glashow very special relativity

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778810020043· OSTI ID:21426777

Tureanu, A ^[1]

---

1. University of Helsinki and Helsinki Institute of Physics, Department of Physics (Finland)

The Cohen-Glashow Very Special Relativity (VSR) algebra is defined as the part of the Lorentz algebra which upon addition of CP or T invariance enhances to the full Lorentz group, plus the space-time translations. We show that noncommutative space-time, in particular noncommutative Moyal plane, with light- like noncommutativity provides a robust mathematical setting for quantum field theories which are VSR invariant and hence set the stage for building VSR invariant particle physics models. In our setting the VSR invariant theories are specified with a single deformation parameter, the noncommutativity scale {Lambda}{sub NC}. Preliminary analysis with the available data leads to {Lambda}{sub NC} {>=} 1-10 TeV.

• OSTI ID: 21426777
• Journal Information: Physics of Atomic Nuclei, Vol. 73, Issue 2; Other Information: DOI: 10.1134/S1063778810020043; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
COMMUTATION RELATIONS
CP INVARIANCE
LORENTZ GROUPS
QUANTUM FIELD THEORY
SPACE-TIME
SPECIAL RELATIVITY THEORY
T INVARIANCE
TEV RANGE
ENERGY RANGE
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICS
POINCARE GROUPS
RELATIVITY THEORY
SYMMETRY GROUPS