Non-Abelian bosonization and Haldane’s conjecture
- Autores
- Cabra, Daniel Carlos; Pujol, Pierre; Reichenbach, María Cecilia von
- Año de publicación
- 1998
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We study the long-wavelength limit of a spin S Heisenberg antiferromagnetic chain. The fermionic Lagrangian obtained corresponds to a perturbed level 2S SU(2) Wess-Zumino-Witten (WZW) model. This effective theory is then mapped into a compact U(1) boson interacting with Z2S parafermions. The analysis of this effective theory allows us to show that when S is an integer there is a mass gap to all excitations, whereas this gap vanishes in the half-odd-integer spin case and the SU(2)2S WZW model flows towards the SU(2)1 stable fixed point. This gives a field theory treatment of the so-called Haldane’s conjecture for arbitrary values of the spin S.
Facultad de Ciencias Exactas - Materia
-
Ciencias Exactas
Física
Spin S Heisenberg
Fermionic Lagrangian
Boson - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/122954
Ver los metadatos del registro completo
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Non-Abelian bosonization and Haldane’s conjectureCabra, Daniel CarlosPujol, PierreReichenbach, María Cecilia vonCiencias ExactasFísicaSpin S HeisenbergFermionic LagrangianBosonWe study the long-wavelength limit of a spin S Heisenberg antiferromagnetic chain. The fermionic Lagrangian obtained corresponds to a perturbed level 2S SU(2) Wess-Zumino-Witten (WZW) model. This effective theory is then mapped into a compact U(1) boson interacting with Z<sub>2S</sub> parafermions. The analysis of this effective theory allows us to show that when S is an integer there is a mass gap to all excitations, whereas this gap vanishes in the half-odd-integer spin case and the SU(2)<sub>2S</sub> WZW model flows towards the SU(2)<sub>1</sub> stable fixed point. This gives a field theory treatment of the so-called Haldane’s conjecture for arbitrary values of the spin S.Facultad de Ciencias Exactas1998-07-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf65-68http://sedici.unlp.edu.ar/handle/10915/122954enginfo:eu-repo/semantics/altIdentifier/issn/0163-1829info:eu-repo/semantics/altIdentifier/issn/1095-3795info:eu-repo/semantics/altIdentifier/arxiv/hep-th/9802014info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevb.58.65info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T11:01:22Zoai:sedici.unlp.edu.ar:10915/122954Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:01:22.621SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Non-Abelian bosonization and Haldane’s conjecture |
| title |
Non-Abelian bosonization and Haldane’s conjecture |
| spellingShingle |
Non-Abelian bosonization and Haldane’s conjecture Cabra, Daniel Carlos Ciencias Exactas Física Spin S Heisenberg Fermionic Lagrangian Boson |
| title_short |
Non-Abelian bosonization and Haldane’s conjecture |
| title_full |
Non-Abelian bosonization and Haldane’s conjecture |
| title_fullStr |
Non-Abelian bosonization and Haldane’s conjecture |
| title_full_unstemmed |
Non-Abelian bosonization and Haldane’s conjecture |
| title_sort |
Non-Abelian bosonization and Haldane’s conjecture |
| dc.creator.none.fl_str_mv |
Cabra, Daniel Carlos Pujol, Pierre Reichenbach, María Cecilia von |
| author |
Cabra, Daniel Carlos |
| author_facet |
Cabra, Daniel Carlos Pujol, Pierre Reichenbach, María Cecilia von |
| author_role |
author |
| author2 |
Pujol, Pierre Reichenbach, María Cecilia von |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Física Spin S Heisenberg Fermionic Lagrangian Boson |
| topic |
Ciencias Exactas Física Spin S Heisenberg Fermionic Lagrangian Boson |
| dc.description.none.fl_txt_mv |
We study the long-wavelength limit of a spin S Heisenberg antiferromagnetic chain. The fermionic Lagrangian obtained corresponds to a perturbed level 2S SU(2) Wess-Zumino-Witten (WZW) model. This effective theory is then mapped into a compact U(1) boson interacting with Z<sub>2S</sub> parafermions. The analysis of this effective theory allows us to show that when S is an integer there is a mass gap to all excitations, whereas this gap vanishes in the half-odd-integer spin case and the SU(2)<sub>2S</sub> WZW model flows towards the SU(2)<sub>1</sub> stable fixed point. This gives a field theory treatment of the so-called Haldane’s conjecture for arbitrary values of the spin S. Facultad de Ciencias Exactas |
| description |
We study the long-wavelength limit of a spin S Heisenberg antiferromagnetic chain. The fermionic Lagrangian obtained corresponds to a perturbed level 2S SU(2) Wess-Zumino-Witten (WZW) model. This effective theory is then mapped into a compact U(1) boson interacting with Z<sub>2S</sub> parafermions. The analysis of this effective theory allows us to show that when S is an integer there is a mass gap to all excitations, whereas this gap vanishes in the half-odd-integer spin case and the SU(2)<sub>2S</sub> WZW model flows towards the SU(2)<sub>1</sub> stable fixed point. This gives a field theory treatment of the so-called Haldane’s conjecture for arbitrary values of the spin S. |
| publishDate |
1998 |
| dc.date.none.fl_str_mv |
1998-07-01 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/122954 |
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http://sedici.unlp.edu.ar/handle/10915/122954 |
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eng |
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eng |
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openAccess |
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