Scale anomaly in a Lorentz and CPT-violating Quantum Electrodynamics

We compute the classical and the quantum breaking of the dilatation current in the minimal Lorentz and CPT-violating quantum electrodynamics. At the classical level, scale symmetry is broken by the general mass term \barψMψand the Chern-Simons-like term. At the quantum level, it is broken by all expected observable fermion operators in the massless limit.