Dirac versus reduced quantization of the Poincaré symmetry in scalar electrodynamics
Dirac versus reduced quantization of the Poincaré symmetry in scalar electrodynamics
The generators of the Poincar\'e symmetry of scalar electrodynamics are quantized in the functional Schr\"odinger representation. We show that the factor ordering which corresponds to (minimal) Dirac quantization preserves the Poincar\'e algebra, but (minimal) reduced quantization does not. In the latter, there is a van Hove anomaly in the boost-boost …