Noncommutative Quantum Field Theory: A Confrontation of Symmetries
arXiv:0805.3500 · doi:10.1088/1126-6708/2008/06/078
Abstract
The concept of a noncommutative field is formulated based on the interplay between twisted Poincaré symmetry and residual symmetry of the Lorentz group. Various general dynamical results supporting this construction, such as the light-wedge causality condition and the integrability condition for Tomonaga-Schwinger equation, are presented. Based on this analysis, the claim of the identity between commutative QFT and noncommutative QFT with twisted Poincaré symmetry is refuted.
20 pages