Quantum parity conservation in planar quantum electrodynamics
Abstract
Quantum parity conservation is verified at all orders in perturbation theory for a massless parity-even planar quantum electrodynamics (QED) model. The presence of two massless fermions requires the Lowenstein-Zimmermann (LZ) subtraction scheme, in the framework of the Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein (BPHZL) renormalization method, in order to subtract the infrared divergences induced by the ultraviolet subtractions at 1- and 2-loops, however thanks to the superrenormalizability of the model the ultraviolet divergences are bounded up to 2-loops. Finally, it is proved that the BPHZL renormalization method preserves parity for the model taken into consideration, contrary to what happens to the ordinary massless parity-even QED.
Keywords
Cite
@article{arxiv.2010.03125,
title = {Quantum parity conservation in planar quantum electrodynamics},
author = {O. M. Del Cima and D. H. T. Franco and L. S. Lima and E. S. Miranda},
journal= {arXiv preprint arXiv:2010.03125},
year = {2021}
}
Comments
10 pages, 2 figures