Differential Form of Real-Space Renormalization: Exact Results for Two-Dimensional Ising Models
- 19 June 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 40 (25), 1605-1608
- https://doi.org/10.1103/physrevlett.40.1605
Abstract
A new real-space renormalization method is developed which leads to differential renormalization-group equations. For a two-dimensional triangular Ising lattice these equations can be solved exactly and yield and exact critical properties.Keywords
This publication has 15 references indexed in Scilit:
- Soluble renormalization groups and scaling fields for low-dimensional Ising systemsAnnals of Physics, 1975
- Finite-lattice approximations to renormalization groupsPhysical Review B, 1975
- Exact renormalization-group equations in one dimension: The Ising modelPhysical Review B, 1975
- Renormalization group solution of the one−dimensional Ising modelJournal of Mathematical Physics, 1975
- The renormalization group in the theory of critical behaviorReviews of Modern Physics, 1974
- The renormalization group and the ε expansionPhysics Reports, 1974
- Exact Renormalization Group Exhibiting a Tricritical Fixed Point for a Spin-1 Ising Model in One DimensionPhysical Review Letters, 1974
- Introduction to the Renormalization GroupReviews of Modern Physics, 1973
- Investigation of the critical point in models of the type of Dyson's hierarchical modelsCommunications in Mathematical Physics, 1973
- Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling PicturePhysical Review B, 1971