Renormalization groups for two- and three-dimensional kinetic Ising models

We present a renormalization group for kinetic Ising models. Recursion relations for flip rates are established through double series in powers of the inverse temperature and a self-consistently determined time-scale ratio. A static transformation is obtained as a subset of recursion relations in which only the inverse temperature appears as expansion parameter. Our best second-order value for $d=2\mathrm{}$ is $z=2.2\mathrm{}$ (with an uncertainty of roughly 10%), while for the simple cubic lattice in $d=3\mathrm{}$ we find $z=1.98\mathrm{}$ if $T_c$ is adjusted to the known numerical value.