A mapping between Lorentz-violating and conventional electrodynamics

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.

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Bibliographic Details
Main Author: Lehnert,Ralf
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Física 2010
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2010000600006
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Summary: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.