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We enlarge the usual D=3 N=1 supergraph techniques to include the case of(explicitly or spontaneously) broken supersymmetric gauge theories. Toillustrate the utility of these techniques, we calculate the two-loop effectivepotential of the SQED3 by using the tadpole and the vacuum bubble methods. Inthese methods, to investigate the possibility of supersymmetry breaking, thesuperfields must be shifted by $\theta$ dependent classical superfields (vacuumexpectation values), what implies in the explicit breakdown of supersymmetry inthe intermediate steps of the calculation. Nevertheless, after studying theminimum of the resulting effective potential, we find that supersymmetry isconserved, while gauge symmetry is dynamically broken, with a mass generatedfor the gauge superfield.

Supergraph techniques for D=3,N=1 broken supersymmetric theories