Bethe Ansatz and exact form factors of the O(N) Gross Neveu-model

We apply previous results on the O(N) Bethe Ansatz [1{3] to construct a general form factor formula for the O(N) Gross-Neveu model. We examine this formula for several operators, such as the energy momentum, the spin- eld and the current. We also compare these results with the 1=N expansion of this...

Descripción completa

Detalles Bibliográficos
Autores: Babujian, Hratchya M., Foerster, Angela, Karowski, Michael
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:Brasil
Institución:Universidade Federal do Rio Grande do Sul (UFRGS)
Repositorio:Repositório Institucional da UFRGS
Idioma:inglés
OAI Identifier:oai:www.lume.ufrgs.br:10183/141226
Acceso en línea:http://hdl.handle.net/10183/141226
Access Level:acceso abierto
Palabra clave:Estados ligados
Teoria quantica de campos
Grupos O
Field Theories in Lower Dimensions
Bethe Ansatz
Integrable Field Theories
Descripción
Sumario:We apply previous results on the O(N) Bethe Ansatz [1{3] to construct a general form factor formula for the O(N) Gross-Neveu model. We examine this formula for several operators, such as the energy momentum, the spin- eld and the current. We also compare these results with the 1=N expansion of this model and obtain full agreement. We discuss bound state form factors, in particular for the three particle form factor of the eld. In addition for the two particle case we prove a recursion relation for the K-functions of the higher level Bethe Ansatz.