Quantum parity conservation in planar quantum electrodynamics
- URL: http://arxiv.org/abs/2010.03125v2
- Date: Mon, 12 Oct 2020 23:24:59 GMT
- Title: Quantum parity conservation in planar quantum electrodynamics
- Authors: O.M. Del Cima, D.H.T. Franco, L.S. Lima, E.S. Miranda
- Abstract summary: 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.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 $U(1)$ QED$_3$.
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