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arXiv · hep-lat/9805022

Finite Size Scaling and ``perfect'' actions: the three dimensional Ising model

H. G. Ballesteros·L. A. Fernandez·V. Martin-Mayor·A. Munoz-Sudupe
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Abstract

Using Finite-Size Scaling techniques, we numerically show that the first irrelevant operator of the lattice $λϕ^4$ theory in three dimensions is (within errors) completely decoupled at $λ=1.0$. This interesting result also holds in the Thermodynamical Limit, where the renormalized coupling constant shows an extraordinary reduction of the scaling-corrections when compared with the Ising model. It is argued that Finite-Size Scaling analysis can be a competitive method for finding improved actions.

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H. G. Ballesteros, L. A. Fernandez, V. Martin-Mayor, A. Munoz-Sudupe. 1998-05-25. Finite Size Scaling and ``perfect'' actions: the three dimensional Ising model. https://doi.org/10.1016/s0370-2693(98)01100-9

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