Spontaneous Breaking of Scale Invariance in Quantum Field Theory - 
                   Double Scaling Limit and Supersymmetry

                 Prof. Moshe Moshe (Technion, Haifa, Israel)

Abstract:  

Particle masses are found to be smaller than the natural mass scale of their 
corresponding quantum field theories. This long lasting problem has resulted 
in many searches for frameworks that imply the existence of matter with mass 
much below the cutoff. An interesting such system will be analyzed. The phase 
structure of a supersymmetric, vector O(N) symmetric model reveals spontaneous 
breaking of scale invariance with no explicit breaking. When the attractive 
force between the massive quanta (bosons and fermions) is tuned one finds 
massless bound states, a Goldstone boson and fermion, associated with 
spontaneous breaking of scale invariance.