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24 April 2024

» arxiv » hep-th/0103127

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$kappa$--deformed Wigner construction of relativistic wave functions and free fields on $kappa$-Minkowski space
P. Kosi’{n}ski ; J. Lukierski ; P. Ma’{s}lanka ;
Date:	16 Mar 2001
Journal:	Nucl.Phys.Proc.Suppl. 102 (2001) 161-168
Subject:	hep-th
Affiliation:	Lodz Univ.), J. Lukierski (Wroclaw Univ.) and P. Ma’{s}lanka (Lodz Univ.
Abstract:	We describe the extension of the Wigner`s infinite-dimensional unitary representations of Poincaré group to the case of $kappa$-deformed Poincaré group. We show that the corresponding coordinate wave functions on noncommutative space-time are described by free field equations on $kappa$-deformed Minkowski space. The cases of Klein--Gordon, Dirac, Proca and Maxwell fields are considered. Finally some aspects of second quantization are also discussed.
Source:	arXiv, hep-th/0103127
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