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

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

2001-03-16

arxiv.org/abs/hep-th/0103127v1

Nucl.Phys.Proc.Suppl. 102 (2001) 161-168

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 14 pages. Talk given by J.L. at the D.V. Volkov Memorial Conference "Supersymmetry and Quantum Field Theory", Kharkov

Scientific paper

10.1016/S0920-5632(01)01552-3

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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