Note on quantum Minkowski space

Z. Bentalha and M. Tahiri
Phys. Rev. D 78, 064068 – Published 26 September 2008

Abstract

In this work, some interesting details about quantum Minkowski space and quantum Lorentz group structures are revealed. The task is accomplished by generalizing an approach adopted in a previous work where quantum rotation group and quantum Euclidean space structures have been investigated. The generalized method is based on a mapping relating the q-spinors (precisely the tensor product of dotted and undotted fondamental q-spinors) to Minkowski q-vectors. As a result of this mapping, the quantum analog of Minkowski space is constructed (with a definite metric). Also, the matrix representation of the quantum Lorentz group is determined together with its corresponding q-deformed orthogonality relation.

  • Received 14 May 2008

DOI:https://doi.org/10.1103/PhysRevD.78.064068

©2008 American Physical Society

Authors & Affiliations

Z. Bentalha1 and M. Tahiri2

  • 1Laboratoire de Physique Théorique, Université de Tlemcen, Tlemcen, Algeria
  • 2Laboratoire de Physique Théorique, Université d’Oran Es-senia, 31100 Oran, Algeria

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Issue

Vol. 78, Iss. 6 — 15 September 2008

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