LEE-YANG EDGE SINGULARITY AND THE SCALING OF RENORMALIZATION-GROUP TRAJECTORIES

We show that in the vicinity of the fixed point curves of constant mass ratios exhibit universal scaling behavior. Their scaling is determined by the gap exponent DELTA=beta-delta. It is demonstrated that this relationship follows from the scaling form of the equation of state and that the curve describing the shrinking of the gap in the Lee-Yang edge singularity belongs to the family of renormalization group trajectories.