Stability, Causality, and Lorentz and CPT Violation

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dc.creatorKostelecky, Alan
dc.creatorLehnert, Ralf
dc.date2000-12-07
dc.date.accessioned2026-07-07T11:31:51Z
dc.date.available2026-07-07T11:31:51Z
dc.descriptionStability and causality are investigated for quantum field theories incorporating Lorentz and CPT violation. Explicit calculations in the quadratic sector of a general renormalizable lagrangian for a massive fermion reveal that no difficulty arises for low energies if the parameters controlling the breaking are small, but for high energies either energy positivity or microcausality is violated in some observer frame. However, this can be avoided if the lagrangian is the sub-Planck limit of a nonlocal theory with spontaneous Lorentz and CPT violation. Our analysis supports the stability and causality of the Lorentz- and CPT-violating standard-model extension that would emerge at low energies from spontaneous breaking in a realistic string theory.
dc.description20 pages, accepted for publication in Physical Review D
dc.identifierhttps://arxiv.org/abs/hep-th/0012060
dc.identifierhttp://arxiv.org/abs/hep-th/0012060
dc.identifierPhys.Rev.D63:065008,2001
dc.identifierdoi:10.1103/PhysRevD.63.065008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197406
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleStability, Causality, and Lorentz and CPT Violation
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