Twisted statistics inκ-Minkowski spacetime

2008/02/29 by T. R. Govindarajan, Kumar S. Gupta, E. Harikumar +4 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.77.105010

published as Phys.Rev.D77:105010,2008 · Latex file, 8 pages

arxiv created 2008/03/10 · openalex publication_date 2008/05/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider the issue of statistics for identical particles or fields in \ensuremathκ-deformed spaces, where the system admits a symmetry group G. We obtain the twisted flip operator compatible with the action of the symmetry group, which is relevant for describing particle statistics in the presence of the noncommutativity. It is shown that for a special class of realizations, the twisted flip operator is independent of the ordering prescription.

Citations

• Local field theory on κ-Minkowski space, star products and noncommutative translations
• Gauge theories on the κ -Minkowski spacetime
• Symplectic geometry and Noether charges for Hopf algebra space-time symmetries
• Covariant particle statistics and intertwiners of the κ-deformed Poincaré algebra
• Spin-statistics and CPT theorems in noncommutative field theory
• Space-time noncommutativity, discreteness of time and unitarity
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Fock space, quantum fields, andκ-Poincaré symmetries

Cited by

• Quantum statistics and noncommutative black holes
• SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND TRANSLATION AND LORENTZ INVARIANCE