Dynamical breaking of gauge symmetry in supersymmetric quantum electrodynamics in three-dimensional spacetime

TL;DR

This paper investigates how gauge symmetry is dynamically broken in three-dimensional supersymmetric quantum electrodynamics, revealing the generation of mass and topological terms through quantum corrections at two-loop order.

Contribution

It provides a detailed two-loop analysis of gauge symmetry breaking and mass generation in 3D supersymmetric QED, highlighting the role of the Chern-Simons term.

Findings

Chern-Simons term generated at one-loop order.

Scalar superfield acquires nonzero vacuum expectation value at two-loop.

Gauge superfield mass mainly due to Chern-Simons term.

Abstract

The dynamical breaking of gauge symmetry in the supersymmetric quantum electrodynamics in three-dimensional spacetime is studied at two-loop approximation. At this level, the effective superpotential is evaluated in a supersymmetric phase. At one-loop order, we observe a generation of the Chern-Simons term due to a parity violating term present in the classical action. At two-loop order, the scalar background superfield acquires a nonvanishing vacuum expectation value, generating a mass term $A^{\alpha}A_{\alpha}$ through Coleman-Weinberg mechanism. It is observed that the mass of gauge superfield is predominantly an effect of the topological Chern-Simons term.