Adjoint fermion zero-modes for SU(N) calorons

We derive analytic formulas for the zero-modes of the Dirac equation in the adjoint representation in the background field of Q = 1 SU(N) calorons. Solutions with various boundary conditions are obtained, including the physically most relevant cases of periodic and anti-periodic ones. The latter are...

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Detalles Bibliográficos
Autores: García Pérez, Margarita, González-Arroyo, Antonio, Sastre, Alfonso
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/17801
Acceso en línea:http://hdl.handle.net/10261/17801
Access Level:acceso abierto
Palabra clave:Solitons Monopoles and Instantons
Supersymmetric gauge theories
Descripción
Sumario:We derive analytic formulas for the zero-modes of the Dirac equation in the adjoint representation in the background field of Q = 1 SU(N) calorons. Solutions with various boundary conditions are obtained, including the physically most relevant cases of periodic and anti-periodic ones. The latter are essential ingredients in a semi-classical treatment of finite temperature supersymmetric Yang-Mills theory. A detailed discussion of adjoint zero-modes in several other contexts is also presented.