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arXiv · hep-th/0103127

$κ$--deformed Wigner construction of relativistic wave functions and free fields on $κ$-Minkowski space

P. Kosiński·J. Lukierski·P. Maślanka
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Abstract

We describe the extension of the Wigner`s infinite-dimensional unitary representations of Poincaré group to the case of $κ$-deformed Poincaré group. We show that the corresponding coordinate wave functions on noncommutative space-time are described by free field equations on $κ$-deformed Minkowski space. The cases of Klein--Gordon, Dirac, Proca and Maxwell fields are considered. Finally some aspects of second quantization are also discussed.

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P. Kosiński, J. Lukierski, P. Maślanka. 2001-03-16. $κ$--deformed Wigner construction of relativistic wave functions and free fields on $κ$-Minkowski space. https://doi.org/10.1016/s0920-5632(01)01552-3

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