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Quantum parity conservation in planar quantum electrodynamics

arXiv
Authors: O. M. Del Cima, D. H. T. Franco, L. S. Lima, E. S. Miranda

Year

2020

Paper ID

20148

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

Quantum parity conservation is verified at all orders in perturbation theory for a massless parity-even U(1)times U(1) planar quantum electrodynamics QED$3$ 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 U(1) QED3.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Quantum parity conservation is verified at all orders in perturbation theory for a massless parity-even U(1)times U(1) planar quantum electrodynamics QED3 model.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2010.03125 [2] arXiv https://arxiv.org/abs/2010.03125 [3] Publisher https://arxiv.org/abs/2010.03125

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