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 -spinors (precisely the tensor product of dotted and undotted fondamental -spinors) to Minkowski -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 -deformed orthogonality relation.
- Received 14 May 2008
DOI:https://doi.org/10.1103/PhysRevD.78.064068
©2008 American Physical Society