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Constraint from the Lamb shift and anomalous magnetic moment on radiatively induced Lorentz and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CPT</mml:mi></mml:math>violation in quantum electrodynamics
We investigate the precisely measured anomalous magnetic moment and Lamb shift as tests for the possible existence of radiatively induced Lorentz and $\mathrm{CPT}$ violation effects in quantum electrodynamics. To this end we calculate the one-loop vacuum polarization tensor and vertex radiative correction in the dimensional reduction and on-shell renormalization schemes. …