Microcausality and quantization of the fermionic Myers–Pospelov model

We study the fermionic sector of the Myers and Pospelov theory with a general background n . The spacelike case without temporal component is well defined and no new ingredients came about, apart from the explicit Lorentz invariance violation. The lightlike case is ill defined and physically discard...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2012-09, Vol.72 (9), p.1-10, Article 2150
Main Authors: Lopez-Sarrion, Justo, Reyes, Carlos M.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Elementary Particles
Exact sciences and technology
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
The physics of elementary particles and fields
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Summary:We study the fermionic sector of the Myers and Pospelov theory with a general background n . The spacelike case without temporal component is well defined and no new ingredients came about, apart from the explicit Lorentz invariance violation. The lightlike case is ill defined and physically discarded. However, the other case where a nonvanishing temporal component of the background is present, the theory is physically consistent. We show that new modes appear as a consequence of higher time derivatives. We quantize the timelike theory and calculate the microcausality violation which turns out to occur near the light cone.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-012-2150-7