The BPHZL renormalization of a planar quantum electrodynamics up to 2-loops and beyond
High Energy Physics - Theory
2025-08-07 v3 Mesoscale and Nanoscale Physics
Materials Science
Abstract
The renormalization of a parity-even massless quantum electrodynamics in three space-time dimensions (QED) is studied by adopting the Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein (BPHZL) renormalization method. The presence of two massless fermions requires the Lowenstein-Zimmermann (LZ) subtraction scheme to renormalize the infrared divergences induced by the ultraviolet subtractions at 1- and 2-loops, moreover due to the model superrenormalizability the ultraviolet divergences are bounded up to 2-loops. Finally, through the BPHZL renormalization method together with the LZ subtraction scheme the ultraviolet and infrared finiteness of the model is proved up to 2-loops and beyond.
Keywords
Cite
@article{arxiv.2503.20012,
title = {The BPHZL renormalization of a planar quantum electrodynamics up to 2-loops and beyond},
author = {D. O. R. Azevedo and O. M. Del Cima and L. S. Lima and E. S. Miranda},
journal= {arXiv preprint arXiv:2503.20012},
year = {2025}
}