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Revista mexicana de física
Print version ISSN 0035-001X
Rev. mex. fis. vol.56 n.6 México Dec. 2010
Investigación
A mapping between Lorentzviolating and conventional electrodynamics
Ralf Lehnert
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Ápartado Postal 70543, México, D.F., 04510, Mexico.
Recibido el 2 de agosto de 2010
Aceptado el 7 de septiembre de 2010
Abstract
The ChernSimonstype term in the photon sector of the Lorentzand CPTbreaking minimal StandardModel Extension (mSME) is considered. It is argued that under certain circumstances this term can be removed from the mSME. In particular, it is demonstrated that for lightlike Lorentz violation a field redefinition exists that maps the onshell free ChernSimons model to conventional onshell free electrodynamics. A compact explicit expression for an operator implementing such a mapping is constructed. This expression establishes that the field redefinition is nonlocal.
Keywords: Lorentz violation; CPT violation; StandardModel Extension; field redefinition.
Resumen
Se considera el término de tipo ChernSimons en el sector fotónico de la extensión mínima del modelo estándar con rompimiento de Lorentz y de CPT. Se discuten las circunstancias bajo las cuales este término se puede remover del modelo. En particular, se demuestra que para una violación de Lorentz parametrizada por un cuadrivector tipo luz existe una redefinición de campo que proyecta el modelo de ChernSimons libre en la capa de masas a la electrodinámica convencional libre en la capa de masas. Se construye una expresión compacta, explícita para un operador implementando tal proyección. Esta expresión establece que la redefinición de campo es no local.
Descriptores: Violación de Lorentz; violación CPT; Modelo Estándar Extendido; redefinición de campo.
PACS: 11.30.Cp; 11.30.Er; 12.60.i
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Acknowledgments
This work is supported in part by the U.S. Department of Energy under cooperative research agreement No. DEFG0205ER41360, by the European Commission under Grant No. MOIFCT2005008687, by CONACyT under Grant No. 55310, and by the Fundação para a Ciência e a Tecnologia under Grant No. CERN/FP/109351/2009.
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