Dimensionally Regularized Study of Nonperturbative Quenched QED
Abstract
We study the dimensionally regularized fermion propagator Dyson-Schwinger equation in quenched nonperturbative QED in an arbitrary covariant gauge using the Curtis-Pennington vertex and perform nonperturbative renormalization numerically. The nonperturbative fermion propagator is solved in D=4-2*epsilon < 4 dimensional Euclidean space for a large number of values of epsilon for two values of the coupling, alpha=0.6 and alpha=1.5. Results for D=4 are then obtained by extrapolation to epsilon=0. We compare these results against previous studies employing a modified ultraviolet cut-off regularization and find agreement to within the numerical precision of the present calculations.
Keywords
Cite
@article{arxiv.hep-ph/9807202,
title = {Dimensionally Regularized Study of Nonperturbative Quenched QED},
author = {Andreas W. Schreiber and Tom Sizer and Anthony G. Williams},
journal= {arXiv preprint arXiv:hep-ph/9807202},
year = {2007}
}
Comments
9 pages including 4 .eps files comprising 2 figures; uses sprocl.sty. To appear in the proceedings of the Workshop on Methods in Nonperturbative Field Theory, Adelaide, Australia, February 1998