A Monte Carlo study of leading order scaling corrections of phi^4 theory on a three dimensional lattice

Abstract

We present a Monte Carlo study of the one-component ${\varphi }^4$ model on the cubic lattice in three dimensions. Leading order scaling corrections are studied using the finite size scaling method. We compute the corrections to scaling exponent $\omega$ with high precision. We determine the value of the coupling $\lambda$ at which leading order corrections to scaling vanish. Using this result we obtain estimates for critical exponents that are more precise than those obtained with field theoretic methods.

20 pages, two figures; numbers cited from ref. 23 corrected, few typos corrected

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