Infinite set of conserved charges in the Ising model
- 15 February 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 25 (4) , 1103-1113
- https://doi.org/10.1103/physrevd.25.1103
Abstract
We find a transformation relating the one-dimensional spin chain and the one-dimensional quantum Ising model in a transverse magnetic field. This allows us to derive an infinite set of local conserved charges for the Ising model, which are exhibited explicitly.
Keywords
This publication has 14 references indexed in Scilit:
- The renormalization group and the ϵ expansionPublished by Elsevier ,2002
- Order and disorder in gauge systems and magnetsPhysical Review D, 1978
- Exact two-particle S-matrix of quantum sine-Gordon solitonsCommunications in Mathematical Physics, 1977
- Dynamical charges in the quantized renormalized massive Thirring modelNuclear Physics B, 1976
- Eigenvalue spectrum of interacting massive fermions in one dimensionPhysical Review B, 1976
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear ProblemsStudies in Applied Mathematics, 1974
- The soliton: A new concept in applied scienceProceedings of the IEEE, 1973
- One-dimensional anisotropic Heisenberg chainAnnals of Physics, 1972
- Two-Dimensional Hydrogen Bonded Crystals without the Ice RuleJournal of Mathematical Physics, 1970
- Exact Solution of a Model of an Antiferroelectric TransitionPhysical Review B, 1969