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Extended supersymmetry breaking at finite temperature: The O'Raifeartaigh model.

Making use of perturbation theory up to one-loop order, we present an analysis of the spontaneous symmetry breaking of the N = 3 O'Raifeartaigh model at finite temperature. Since supersymmetry is assumed already to be broken at zero temperature, we find that temperature induces a further symmetry breaking in a way completely analogous to the mechanism recently uncovered in the case of the Wess-Zumino model and that the two mechanisms operate independently with respect to one another. This implies, in turn, that at least two Goldstone fermions are needed for any N> or =3 broken extended supersymmetric models for which some mass difference remains in the zero-temperature limit. In the mass-degenerate channels, the thermal superpairs replace the Goldstone fermions. In the free-field limit at finite temperature, all of the Goldstone fermions are replaced by the thermal superpairs.