The effective potential, critical point scaling and the renormalization group
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❄️ cond-mat.stat-mech
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effectivepotentialgrouprenormalizationscalingsystemareasbeen
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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 $\phi^4$ system, can be used to extract the effective potential. All scaling features are included in the process.
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