Rotating Skyrmion in 2+1 dimensions

The collective rotation of the Skyrmion in two-dimensional space is considered. In contradistinction to the three-dimensional case, inertial effects do not spoil the hedgehog form and can, therefore, be investigated consistently without great computational difficulty. The energy, the moment of inert...

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Detalles Bibliográficos
Autores: Betz, Michel Emile Marcel, Rodrigues, Hercules Borges, Rodama, Takeshi
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1996
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:10183/103703
Acceso en línea:http://hdl.handle.net/10183/103703
Access Level:acceso abierto
Palabra clave:Teoria de campos
Teoria de campos de calibres
Fisica subatomica
Física nuclear
Simetrias quiral
Quebra espontanea de simetrias
Baryons
Descripción
Sumario:The collective rotation of the Skyrmion in two-dimensional space is considered. In contradistinction to the three-dimensional case, inertial effects do not spoil the hedgehog form and can, therefore, be investigated consistently without great computational difficulty. The energy, the moment of inertia, and the mean radius of the rotating soliton are calculated for a wide range of model parameters. It is found that the ‘‘frozen hedgehog’’ treatment—commonly assumed adequate in the Skyrme model on the basis of large NC ~number of colors! arguments—is invalid in a sizable portion of parameter space. The phase shifts associated with radial fluctuations of the rotating soliton are also investigated and are found to be significantly affected by the rotation. [S0556-2821(96)04613-9].