Investigación

 

A mapping between Lorentz–violating and conventional electrodynamics

 

Ralf Lehnert

 

Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Ápartado Postal 70–543, México, D.F., 04510, Mexico.

 

Recibido el 2 de agosto de 2010
Aceptado el 7 de septiembre de 2010

 

Abstract

The Chern—Simons–type term in the photon sector of the Lorentz–and CPT–breaking minimal Standard–Model 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 on–shell free Chern—Simons model to conventional on–shell free electrodynamics. A compact explicit expression for an operator implementing such a mapping is constructed. This expression establishes that the field redefinition is non–local.

Keywords: Lorentz violation; CPT violation; Standard–Model Extension; field redefinition.

 

Resumen

Se considera el término de tipo Chern—Simons 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 Chern—Simons 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. DE–FG0205ER41360, by the European Commission under Grant No. MOIF–CT–2005–008687, 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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