Open problems in Monte Carlo renormalization group: Application to critical phenomena (invited)
- 15 April 1987
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 61 (8) , 3605-3611
- https://doi.org/10.1063/1.338688
Abstract
The Monte Carlo renormalization group (MCRG) methods and the underlying theory is reviewed. The Gupta–Cordery improved MCRG method is described and compared with the standard one. The emphasis is on the progress made in understanding the truncation errors in the linearized transformation matrix and on open problems. The problem of deteriorating exponents with long-range transformations is highlighted. Lastly, some of the existing methods for calculating the renormalized Hamiltonian are reviewed and evaluated.This publication has 21 references indexed in Scilit:
- Location of Renormalization-Group Fixed PointsPhysical Review Letters, 1986
- Truncation errors in the Monte Carlo renormalization group: A comparative studyPhysical Review B, 1986
- Clear evidence of redundant operators in Monte Carlo studies of the Ising modelPhysical Review B, 1985
- Dealing with Truncation in Monte Carlo Renormalization-Group CalculationsPhysical Review Letters, 1985
- Optimization of Real-Space Renormalization-Group TransformationsPhysical Review Letters, 1984
- Monte Carlo Calculation of Renormalized Coupling ParametersPhysical Review Letters, 1984
- Microcanonical Monte Carlo SimulationPhysical Review Letters, 1983
- Microcanonical Ensemble Formulation of Lattice Gauge TheoryPhysical Review Letters, 1982
- Monte Carlo renormalization-group analysis of the classical Heisenberg model in two dimensionsPhysical Review B, 1980
- Renormalization Group by Monte Carlo MethodsPhysical Review Letters, 1976