Dynamical mass generation in unquenched QED using the Dyson--Schwinger equations
Abstract
We present a comprehensive numerical study of dynamical mass generation for unquenched QED in four dimensions, in the absence of four-fermion interactions, using the Dyson--Schwinger approach. We begin with an overview of previous investigations of criticality in the quenched approximation. To this we add an analysis using a new fermion-antifermion-boson interaction ansatz, the Kizilersu-Pennington (KP) vertex, developed for an unquenched treatment. After surveying criticality in previous unquenched studies, we investigate the performance of the KP vertex in dynamical mass generation using a renormalized fully unquenched system of equations. This we compare with the results for two hybrid vertices incorporating the Curtis--Pennington vertex in the fermion equation. We conclude that the KP vertex is as yet incomplete, and its relative gauge-variance is due to its lack of massive transverse components in its design.
Cite
@article{arxiv.1409.5979,
title = {Dynamical mass generation in unquenched QED using the Dyson--Schwinger equations},
author = {Ayse Kizilersu and Michael R. Pennington and Tom Sizer and Anthony G. Williams and Richard Williams},
journal= {arXiv preprint arXiv:1409.5979},
year = {2014}
}
Comments
17 pages, 13 figures, 3 tables