Quantum field ground state of the sine-Gordon model with finite soliton density: Exact results

F. D.M. Haldane

doi:10.1088/0305-4470/15/2/021

Quantum field ground state of the sine-Gordon model with finite soliton density: Exact results

F. D.M. Haldane

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

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.

Original language	English (US)
Article number	021
Pages (from-to)	507-525
Number of pages	19
Journal	Journal of Physics A: General Physics
Volume	15
Issue number	2
DOIs	https://doi.org/10.1088/0305-4470/15/2/021
State	Published - 1982
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Physics and Astronomy
Mathematical Physics

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10.1088/0305-4470/15/2/021

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title = "Quantum field ground state of the sine-Gordon model with finite soliton density: Exact results",

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.",

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year = "1982",

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AB - 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.

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Quantum field ground state of the sine-Gordon model with finite soliton density: Exact results

Abstract

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