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The effective potential, critical point scaling and the renormalization group

Joseph Rudnick·William Lay·David Jasnow
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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 $ϕ^4$ system, can be used to extract the effective potential. All scaling features are included in the process.

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Joseph Rudnick, William Lay, David Jasnow. 1998-03-02. The effective potential, critical point scaling and the renormalization group. https://doi.org/10.1103/physreve.58.2902

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