Perturbative analysis on infrared aspects of noncommutative QED on R^4

摘要: Here we examine the noncommutative counterpart of QED, which is called as QED. The theory obtained by examining consistent minimal coupling to U(1) gauge field. *-product admits matter with only three varieties charges, i.e., 0, +1 and -1. Ultraviolet divergence can be absorbed into rescaling fields parameters at least one loop level. To infrared aspect anomalous magnetic dipole moment calculated. dependence on direction photon momentum reflects Lorentz symmetry violation system. explicit calculation finite part vacuum polarization shows singularity ln({q C^TC q}) (C^{\mu\nu} a parameter.) in side also exists Yang-Mills theory. It associated ultraviolet behavior We consider extension chiral present context, but requirement anomaly cancellation allows