Monte Carlo renormalization-group analysis of the lattice phi(4) model in D=3,4

Authors
Citation
M. Itakura, Monte Carlo renormalization-group analysis of the lattice phi(4) model in D=3,4, PHYS REV E, 61(5), 2000, pp. 5924-5929
Citations number
27
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
61
Issue
5
Year of publication
2000
Part
B
Pages
5924 - 5929
Database
ISI
SICI code
1063-651X(200005)61:5<5924:MCRAOT>2.0.ZU;2-U
Abstract
We present a simple, sophisticated method to capture renormalization-group flow in Monte Carlo simulation, which provides important information of cri tical phenomena. We applied the method to the D = 3,4 lattice phi(4) model and obtained a renormalization flow diagram that well reproduces theoretica lly predicted behavior of the continuum phi(4) model. We also show that the method can be easily applied to much moro complicated models, such as frus trated spin models.