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

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

1999-02-22

arxiv.org/abs/hep-lat/9902026v2

J.Phys.A32:4851-4865,1999

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1088/0305-4470/32/26/304

We present a Monte Carlo study of the one-component $\phi^4$ 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.

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