SPONTANEOUS BREAKING OF SCALE INVARIANCE AND SUPERSYMMETRIC MODELS AT FINITE TEMPERATURE

Abstract

The phase structure of a supersymmetric, vector O(N) symmetric model at Large N in three dimension is presented. At zero temperature it reveals spontaneous breaking of scale invariance with no explicit breaking. When the attracting force between the massive quanta, bosons and fermions, is tuned to a certain critical value one finds massless bound states, a Goldstone boson and a Goldstone fermion, associated with the spontaneous breaking of scale invariance (massless dilaton and dilatino). The effect of finite temperature on this phenomenon is elucidated. Expectation values of the energy momentum tensor are calculated at zero and finite temperatures. The phase structure is unveiled in the limit N → ∞. We point out that at a certain critical value of the coupling constant the trace of the energy momentum tensor vanishes at all temperatures.