2 00 3 December 19 , 2003 FIELDS AND SYMMETRIES IN κ - MINKOWSKI
نویسنده
چکیده
We have investigated some issues relevant for the possibility to construct physical theories on the κ-Minkowski noncommutative spacetime. The notion of field in κ-Minkowski has been introduced by generalizing the Weyl system/map formalism and a comparative study of the star products arising from this generalization has been done. A line of analysis of the symmetries of κ-Minkowski has been proposed that relies on the possibility to find a “maximally”-symmetric action which is invariant under a 10-generator Poincaré-like symmetry algebra. The equation of motion for scalar particles has been obtained by a generalized variational principle. An extension of the Dirac equation for spin-1/2 particles has been proposed by using a five-dimensional differential calculus on κ-Minkowski. Under the supervision of Dr. G. Amelino-Camelia and Prof. F. Lizzi e-mail: [email protected]
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