Logarithmic factors, critical temperature, and zero temperature flipping in the 4D kinetic Ising model

We determine the critical temperature in the four-dimensional nearest-neighbor Ising model as J/k(B)T(c) = 0.149694+/-0.000002 from kinetic Monte Carlo simulations of up to 576(4) spins. Here we assume the critical magnetization to decay with time as (t/log t)(-1/2) However, possible logarithmic additions to this leading scaling behavior could change the estimate beyond these error bars. A reanalyzis of old series expansions for the susceptibility and fourth moment gives 0.149696+/-0.000004.