Sine-Gordon theory and the classical two-dimensionalx−ymodel

15 November 1976

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

Vol. 14 (10) , 2826-2829
https://doi.org/10.1103/physrevd.14.2826

Abstract

From known results, at the level of perturbation theory, the quantum sine-Gordon (SG) field theory is shown to be isomorphic to the zero-field, low-temperature limit of the classical two-dimensional

x - y

model. The solitons of the SG theory are suggested to correspond to the vortices in the

x - y

model.

Keywords

This publication has 15 references indexed in Scilit:

The renormalization group and the ϵ expansion
Published by Elsevier ,2002
Renormalization of the Nonlinear $σ$ Model in $2 + ε$ Dimensions—Application to the Heisenberg Ferromagnets
Physical Review Letters, 1976
I. Introduction
Physics Reports, 1976
Quantum sine-Gordon equation as the massive Thirring model
Physical Review D, 1975
There are no Goldstone bosons in two dimensions
Communications in Mathematical Physics, 1973
Additional Evidence for a Phase Transition in the Plane-Rotator and Classical Heisenberg Models for Two-Dimensional Lattices
Physical Review Letters, 1969
Dependence of Critical Properties on Dimensionality of Spins
Physical Review Letters, 1968
Long-Range Order in Superfluid Helium
Physical Review B, 1967
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
Physical Review Letters, 1966
Possibility of a Phase Transition for the Two-Dimensional Heisenberg Model
Physical Review Letters, 1966