Twisted Space-Time Symmetry, Non-Commutativity and Particle Dynamics

Abstract

We describe the twisted space-time symmetries which imply the quantum Poincaré covariance of noncommutative Minkowski spaces, with constant, Lie algebraic and quadratic commutators. Further we present the relativistic and nonrelativistic particle models invariant respectively under twisted relativistic and twisted Galilean symmetries.

LaTeX, 10 pages, ws-procs9x6.cls (included). To appear in Proc. of XXIII Int. Conf. on Differential-Geometric Methods in Theoretical Physics (DGMTP), Tianjin (China), August 2005, ed. World Scientific (talk by J.Lukierski)