Constraint from Lamb Shift and Anomalous Magnetic Moment on Radiatively Induced Lorentz and CPT Violation in Quantum Electrodynamics

We propose to adopt the precisely measured anomalous magnetic moment and Lambshift as tests for the possible existence of the radiatively induced Lorentzand CPT violation effects in quantum electrodynamics. To this end we calculatethe one-loop vacuum polarization tensor and vertex radiative correction indimensional reduction and on-shell renormalization scheme. We then explicitlyshow how the Lorentz and CPT violation sector affects the anomalous magneticmoment and Lamb shift. We find that the high precision experimental data forthe anomalous magnetic moment and Lamb shift may in principle provideunambiguous signals for possible Lorentz and CPT violation