Non-local on-shell field redefinition for the SME
Ralf Lehnert
TL;DR
This paper explores non-local field redefinitions in the SME that can eliminate certain Lorentz-violating terms, providing explicit formulas for the modified eigenspinors and their properties.
Contribution
It introduces a specific non-local field mapping in the SME and analyzes conditions for its invertibility, enabling removal of b-type Lorentz violation in free fermions.
Findings
Field redefinition can remove b-type Lorentz violation
Explicit momentum-space eigenspinors derived
Conditions for inverse mapping established
Abstract
This work instigates a study of non-local 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-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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