Spontaneous gauge symmetry breaking in a supersymmetric Chern-Simons model

TL;DR

This paper investigates spontaneous gauge symmetry breaking in a three-dimensional supersymmetric Chern-Simons model with a Higgs field, analyzing quantum corrections and renormalizability using superfield formalism.

Contribution

It provides a perturbative analysis of symmetry breaking and demonstrates the model's renormalizability at one-loop level.

Findings

Spontaneous breaking of U(1) gauge symmetry is analyzed.

Quantum corrections are computed in the broken phase.

Renormalization of the gap equation ensures model consistency.

Abstract

This works presents a perturbative analysis of the supersymmetric Chern-Simons model in three spacetime dimensions coupled to a Higgs field, using the superfield formalism. We study the spontaneous symmetry breaking of the U(1) gauge symmetry and evaluate the first quantum corrections to the effective action in the broken phase. We show that the infinite renormalization of the gap equation is enough to ensure the renormalizability of the model at the first loop level.