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

J. Lukierski (Wroclaw Univ.); P. Kosi\'nski (Lodz Univ.); P. Ma\'slanka (Lodz Univ.)

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

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arxiv hep-th/0103127 v1 pith:TLEIFUUE submitted 2001-03-16 hep-th

P. Kosiński (Lodz Univ.) , J. Lukierski (Wroclaw Univ.) , P. Maślanka (Lodz Univ.) This is my paper · ORCID

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abstract

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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Yang-Mills Field in the $\kappa$-space-time
hep-th 2024-11 conditional novelty 6.0 of 10

A first-order SU(N) Yang-Mills theory on κ-deformed spacetime is constructed, with field strengths rescaled by probe-energy-dependent factors and an SU(N)-invariant Lagrangian.

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