A. C. Lehum

Supergauge theories in aether superspace

Within the superfield method we extend the formulation of the Lorentz-breaking aether superspace for supergauge theories, both in three- and in four-dimensional cases.

On the superfield supersymmetric aether-like Lorentz-breaking models

Within the superfield approach, we formulate the superfield supersymmetric aether-like Lorentz-breaking models, both in three- and in four-dimensional cases.

On the superfield effective potential in three dimensions

We develop the superfield approach to the effective potential in three dimensions and calculate the one-loop and two-loop Kahlerian effective potential in commutative and noncommutative cases.

Effective superpotential in the supersymmetric Chern-Simons theory with matter

We develop a superfield approach to the effective potential in the supersymmetric Chern-Simons theory coupled to matter, and, in Landau gauge, calculate the one-loop Kahlerian effective potential and give some qualitative prescriptions for the two-loop one.

Dynamical generation of mass in the D=(2+1) Wess-Zumino model

In this work we study the dynamical generation of mass in the massless

Spontaneous gauge symmetry breaking in a supersymmetric Chern-Simons model

\mathcal{N}=1

Dynamical generation of mass in the noncommutative supersymmetric Schwinger model

Wess-Zumino model in a three-dimensional spacetime. Using the tadpole method to compute the effective potential, we observe that supersymmetry is dynamically broken together with the discrete symmetry

Perturbative finiteness of three-dimensional supersymmetric QED to all orders

A(x)\ensuremath{\rightarrow}\ensuremath{-}A(x)

The supersymmetric (2 + 1)D noncommutative CP(N−1) model in the fundamental representation

. We show that this model, different from nonsupersymmetric scalar models, exhibits a consistent perturbative dynamical generation of mass after two-loop corrections to the effective potential.

Gravitational corrections to the scattering in a massless quantum electrodynamics

This work 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.