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

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

1999-05-18

arxiv.org/abs/hep-th/9905132v1

Phys.Rev. D60 (1999) 085002

Physics

High Energy Physics

High Energy Physics - Theory

14 pages ReVTeX; four axodraw figures incorporated

Scientific paper

10.1103/PhysRevD.60.085002

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.

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