Monte Carlo Renormalization-Group Transformations in Momentum Space

19 October 1981

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 47 (16) , 1159-1162
https://doi.org/10.1103/physrevlett.47.1159

Abstract

Methods of extending Monte Carlo renormalization-group calculations to include transformations in momentum space are proposed to investigate systems for which block spins are difficult or impossible to construct—such systems include fluids, for which particles are not confined to a lattice, three-dimensional fcc antiferromagnets, and lattice gauge models in four dimensions. The feasibility of these transformations is demonstrated by calculations in two and three dimensions.

Keywords

This publication has 18 references indexed in Scilit:

Tricritical Universality in Two Dimensions
Physical Review Letters, 1981
Critical behavior of the four-dimensional Ising model
Physical Review B, 1980
Monte Carlo renormalization-group studies of $q$ -state Potts models in two dimensions
Physical Review B, 1980
First-Order Phase Transitions and the Three-State Potts Model
Physical Review Letters, 1979
Monte Carlo renormalization-group studies of the $d = 2$ Ising model
Physical Review B, 1979
Critical behavior of the three-dimensional Ising model
Physical Review B, 1979
Monte Carlo Renormalization Group and Ising Models with $n >~ 2$
Physical Review Letters, 1979
Monte Carlo Renormalization Group
Physical Review Letters, 1979
Renormalization Group by Monte Carlo Methods
Physical Review Letters, 1976
Physical realizations of $n \geq 4$ -component vector models. I. Derivation of the Landau-Ginzburg-Wilson Hamiltonians
Physical Review B, 1976