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

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

1998-05-25

arxiv.org/abs/hep-lat/9805022v1

Phys.Lett. B441 (1998) 330-338

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 3 figures

Scientific paper

10.1016/S0370-2693(98)01100-9

Using Finite-Size Scaling techniques, we numerically show that the first irrelevant operator of the lattice $\lambda\phi^4$ theory in three dimensions is (within errors) completely decoupled at $\lambda=1.0$. 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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