Nonlocal on-shell field redefinition for the standard-model extension

2006/09/23 by Ralf Lehnert
Mathematics · Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Extension (predicate logic) #Fermion #Field (mathematics) #Geometry #Inverse #Lorentz factor #Lorentz transformation #Mathematical physics #Mathematics #Momentum (technical analysis) #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Orthogonality #Physics #Pure mathematics #Quantum mechanics #Shell (structure) #Space (punctuation) #Standard Model (mathematical formulation) #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.74.125001

published as Phys.Rev.D74:125001,2006 · 12 pages, REVTeX4

arxiv created 2006/09/23 · openalex publication_date 2006/12/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

This work instigates a study of nonlocal field mappings within the Lorentz- and CPT-violating standard-model extension (SME). An example of such a mapping is constructed explicitly, and the conditions for the existence of its inverse are investigated. It is demonstrated that the associated field redefinition can remove b^\ensuremathμ-type Lorentz violation from free SME fermions in certain situations. These results are employed to obtain explicit expressions for the corresponding Lorentz-breaking momentum-space eigenspinors and their orthogonality relations.

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