Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-02-22
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, 3 figures
Scientific paper
Using the superfield formalism and implementing the canonical noncommutativity, the Kahlerian effective superpotential is evaluated in the three-dimensional noncommutative supersymmetric Chern--Simons-matter model at the two-loop order. The computation of the Kahlerian effective superpotential is enough to determine whether the model can exhibit spontaneous (super) symmetry breaking. It is shown that the model possesses a spontaneous gauge symmetry broken phase, generating masses for the scalar and gauge superfields at the two-loop order. Just as for the commutative version, in the noncommutative case the supersymmetry cannot be broken by radiative corrections via the Coleman-Weinberg mechanism
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