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arxiv: hep-th/0103127 · v1 · pith:TLEIFUUEnew · submitted 2001-03-16 · ✦ hep-th

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

classification ✦ hep-th
keywords kappadeformedfieldsfreefunctionsgroupminkowskipoincar
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We describe the extension of the Wigner`s infinite-dimensional unitary representations of Poincar\'{e} group to the case of $\kappa$-deformed Poincar\'{e} 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.

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