Quantum field ground state of the sine-Gordon model with finite soliton density: exact results
- 1 February 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (2) , 507-525
- https://doi.org/10.1088/0305-4470/15/2/021
Abstract
The Bethe ansatz solutions of the massive Thirring model are renormalised and used to obtain exactly the ground-state properties of the sine-Gordon model with a finite density of topological solitons. Using a theory of 1D quantum fluids, the correlation function exponents and low-energy excitation spectrum are obtained. Expansions in various limits are given, and various crossovers described.Keywords
This publication has 15 references indexed in Scilit:
- 'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gasJournal of Physics C: Solid State Physics, 1981
- Critical properties of two-dimensional modelsPhysical Review B, 1981
- General Relation of Correlation Exponents and Spectral Properties of One-Dimensional Fermi Systems: Application to the AnisotropicHeisenberg ChainPhysical Review Letters, 1980
- Structure and solution of the massive Thirring modelPhysical Review D, 1979
- Investigation of a class of one-dimensional nonlinear fieldsPhysical Review A, 1976
- Quantum sine-Gordon equation as the massive Thirring modelPhysical Review D, 1975
- Partition function of the Eight-Vertex lattice modelAnnals of Physics, 1972
- Magnetization Curve at Zero Temperature for the Antiferromagnetic Heisenberg Linear ChainPhysical Review B, 1964
- Relationship between Systems of Impenetrable Bosons and Fermions in One DimensionJournal of Mathematical Physics, 1960
- One-dimensional dislocations. I. Static theoryProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1949