Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

F. D.M. Haldane

doi:10.1016/0375-9601(83)90631-X

Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

F. D.M. Haldane

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

2500 Scopus citations

Abstract

An action-angle representation of spin variables is used to relate the large-S Heisenberg antiferromagnet to the O(3) nonlinear sigma model quantum field theory, with precise equivalence for integral S. A variant theory is found for half-integral S. Dynamic mass generation by the Néel magnon is predicted.

Original language	English (US)
Pages (from-to)	464-468
Number of pages	5
Journal	Physics Letters A
Volume	93
Issue number	9
DOIs	https://doi.org/10.1016/0375-9601(83)90631-X
State	Published - Feb 14 1983
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1016/0375-9601(83)90631-X

Cite this

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title = "Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model",

abstract = "An action-angle representation of spin variables is used to relate the large-S Heisenberg antiferromagnet to the O(3) nonlinear sigma model quantum field theory, with precise equivalence for integral S. A variant theory is found for half-integral S. Dynamic mass generation by the N{\'e}el magnon is predicted.",

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AB - An action-angle representation of spin variables is used to relate the large-S Heisenberg antiferromagnet to the O(3) nonlinear sigma model quantum field theory, with precise equivalence for integral S. A variant theory is found for half-integral S. Dynamic mass generation by the Néel magnon is predicted.

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Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

Abstract

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