Gauge Coupling Instability and Dynamical Mass Generation in N=1 Supersymmetric QED(3)

TL;DR

This paper investigates the infrared behavior of N=1 supersymmetric QED(3) using superfield Dyson-Schwinger equations, showing that dynamical mass generation stabilizes the gauge coupling and leads to a massive vacuum.

Contribution

It demonstrates how a supersymmetry-preserving mass stabilizes the gauge coupling and can be generated dynamically via Dyson-Schwinger equations in supersymmetric QED(3).

Findings

Massive vacuum is stabilized by supersymmetric mass.

Dynamical mass generation is shown to be self-consistent.

Infrared gauge coupling oscillations are suppressed by mass.

Abstract

Using superfield Dyson-Schwinger equations, we compute the infrared dynamics of the semi-amputated full vertex, corresponding to the effective running gauge coupling, in N-flavour {\mathcal N}=1 supersymmetric QED(3). It is shown that the presence of a supersymmetry-preserving mass for the matter multiplet stabilizes the infrared gauge coupling against oscillations present in the massless case, and we therefore infer that the massive vacuum is thus selected at the level of the (quantum) effective action. We further demonstrate that such a mass can indeed be generated dynamically in a self-consistent way by appealing to the superfield Dyson-Schwinger gap equation for the full matter propagator.