Non-perturbative solutions of the SD equation for an Abelian gauge field theory

Abstract

In this article we present a mechanism in which we find new non-perturbative solutions of quantum electrodynamics in four dimensions. Two non-perturbative solutions are found for approximate Schwinger-Dyson equations. The mass ratio of the three solutions (one is ordinary solution) is approximately $1:(8\pi /\alpha {)}^{2/3}:8\pi /\alpha$.

6 pages, no figure

References in corpus (1)

• Running Coupling Constant of a Gauge Theory in the Framework of the Schwinger-Dyson Equation: Infrared Behavior of Three-Dimensional Quantum Electrodynamics