Classical antiparticles, quantum supersymmetry anomaly and constituent models
High Energy Physics - Phenomenology
2007-05-23 v1
Abstract
The two ways of constrained systems quantization are considered from the point of view of their self-consistency at the quantum level. With a transparent example of a particle in the external electromagnetic field we demonstrate that the procedure of gauge fixing turns out rather dangerous and may lead to a quantum anomaly in the operator algebra. We discuss additional classical symmetries as an essential element for tracing out this anomaly. The two cases of a spinning and a spinless particles in the external electromagnetic field are discussed to illustrate the situation.
Cite
@article{arxiv.hep-ph/9712500,
title = {Classical antiparticles, quantum supersymmetry anomaly and constituent models},
author = {Yu. S. Kalashnikova and A. V. Nefediev},
journal= {arXiv preprint arXiv:hep-ph/9712500},
year = {2007}
}
Comments
9 pages, LaTeX2e, no figures