Equation of state and dynamical properties near the Yang-Lee edge singularity

Statics and dynamics of the Yang-Lee edge singularity are investigated by field theoretic renormalization group techniques. Exploiting a continuous symmetry under a shift of the order parameter we calculate the static critical exponent to order ²=(6–d)², in accordance with previous results; in addition, we derive the equation of state and its asymptotic behaviour. The dynamic scaling exponentz is calculated to order ² from a purely relaxational model with non-conserved order parameter; joining the -expansion to an exact result ford=0 in a 2/1] Padè approximant we estimatez=1.81 ford=3.