The effective potential, critical point scaling and the renormalization group

Abstract

The desirability of evaluating the effective potential in field theories near a phase transition has been recognized in a number of different areas. We show that recent Monte Carlo simulations for the probability distribution for the order parameter in an equilibrium Ising system, when combined with low-order renormalization group results for an ordinary ${\varphi }^4$ system, can be used to extract the effective potential. All scaling features are included in the process.

REVTEX file, 22 pages, three figures, submitted to Phys. Rev. E