Lattice-independent approach to thermal phase mixing
We show how to achieve lattice-spacing-independent results in numerical simulations of finite-temperature stochastic scalar field theories. We generalize a previous approach by obtaining results which are independent of the renormalization scale. As an application of our method, we examine thermal phase mixing in the context of Ginzburg-Landau models with short-range interactions. In particular, we obtain the lattice-spacing and renormalization-scale-independent critical value of the control parameter which determines the free-energy barrier between the two low-temperature phases. We also propose a simple procedure to extract the critical value of control parameters for different choices of lattice spacing.
Gagne
CJ
Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755, USA.
Gleiser
M