Lattice-independent approach to thermal phase mixing

We show how to achieve lattice-spacing-independent results in numerical sim ulations of finite-temperature stochastic scalar field theories. We general ize a previous approach by obtaining results which are independent of the r enormalization scale. As an application of our method, we examine thermal p hase mixing in the context of Ginzburg-Landau models with short-range inter actions. In particular, we obtain the lattice-spacing and renormalization-s cale-independent critical value of the control parameter which determines t he free-energy barrier between the two low-temperature phases. We also prop ose a simple procedure to extract the critical value of control parameters for different choices of lattice spacing.