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)

References in corpus (2)

• Non-Commutative Geometry from Strings
• Noncommutative relativistic particle

Cited by in corpus (7)

• Deformed Symmetry in Snyder Space and Relativistic Particle Dynamics
• Newton equation for canonical, Lie-algebraic and quadratic deformation of classical space
• Canonical and Lie-algebraic twist deformations of Galilei algebra
• Gauge gravitation theory from the geometric viewpoint
• Some Studies in Noncommutative Quantum Field Theories
• Vector Field Twisting of Lie-Algebras
• Theories on noncommutative spaces and deformed symmetries