Title: On instability of asymptotic freedom of supergauge Yang-Mills theory
Abstract: Asymptotic freedom is examined in detail for a simple supergauge symmetry model of Yang-Mills type. Although the model of perfect symmetry is asymptotically free, the symmetry limit is not realized as a local minimum in every direction in the parameter space of independent coupling constants if one starts with approximate supergauge symmetry. In spite of the unstable nature of the perfect symmetry limit, breaking due to soft operators explicitly or spontaneously does not ruin the asymptoic freedom. This leads us to speculate on a new possibility of achieving the asymptotic freedom without massless particles in the ordinary Yang-Mills theory.