Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-02-09
Physics
High Energy Physics
High Energy Physics - Theory
revtex4, 12 pages, 2 figures, minor corrections
Scientific paper
We discuss the possibility of breaking dynamically the supersymmetry in the SQED3 model by computing the effective potential up to 2-loops in the superfield approach. To this aim we need to translate the superfields by \theta -dependent vacuum expectation values, what implies in the breakdown of the usual superfield formalism; the principal difficulty is the inversion of the bilinear part of the action to get the superpropagators. This problem was previously studied in 3D for explicit breaking of supersymmetry. In using the results in the literature we found that the operator algebra presented needs a completion on dealing with spontaneous symmetry breakdown. This extension of the algebra is the main result of the present work. By using this algebra to work out the superpropagators in SQED3, and calculating the effective potential up to two loops, we found that supersymmetry is conserved, but gauge symmetry is dynamically broken, with a mass generated for the gauge superfield.
da Silva Adilson Jose
Gallegos E. A.
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