The SU(3) spin chain sigma model and string theory

The ferromagnetic integrable SU(3) spin chain provides the one loop anomalous dimension of single trace operators involving the three complex scalars of N = 4 supersymmetric Yang-Mills. We construct the non-linear sigma model describing the continuum limit of the SU(3) spin chain. We find that this...

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Detalhes bibliográficos
Autores: Hernández Redondo, Rafael; López, Esperanza
Tipo de documento: Artigo
Data de publicação:2004
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:Inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/52163
Acesso em linha:https://hdl.handle.net/20.500.14352/52163
Nível de acesso:Acesso aberto
Palavra-chave:53
Física-Modelos matemáticos
Descrição
Resumo:The ferromagnetic integrable SU(3) spin chain provides the one loop anomalous dimension of single trace operators involving the three complex scalars of N = 4 supersymmetric Yang-Mills. We construct the non-linear sigma model describing the continuum limit of the SU(3) spin chain. We find that this sigma model corresponds to a string moving with large angular momentum in the five-sphere in AdS5 × S 5 . The energy and spectrum of fluctuations for rotating circular strings with angular momenta along three orthogonal directions of the five-sphere is reproduced as a particular case from the spin chain sigma model.