$\kappa$--deformed Wigner construction of relativistic wave functions and free fields on $\kappa$-Minkowski space
High Energy Physics - Theory
2016-08-16 v1
Abstract
We describe the extension of the Wigner`s infinite-dimensional unitary representations of Poincar\'{e} group to the case of -deformed Poincar\'{e} group. We show that the corresponding coordinate wave functions on noncommutative space-time are described by free field equations on -deformed Minkowski space. The cases of Klein--Gordon, Dirac, Proca and Maxwell fields are considered. Finally some aspects of second quantization are also discussed.
Keywords
Cite
@article{arxiv.hep-th/0103127,
title = {$\kappa$--deformed Wigner construction of relativistic wave functions and free fields on $\kappa$-Minkowski space},
author = {P. Kosiński and J. Lukierski and P. Maślanka},
journal= {arXiv preprint arXiv:hep-th/0103127},
year = {2016}
}
Comments
LaTeX2e, 14 pages. Talk given by J.L. at the D.V. Volkov Memorial Conference "Supersymmetry and Quantum Field Theory", Kharkov, 25-29 July 2000, to be published in Nuclear Physics B Conference Supplements