Stability, causality, and Lorentz and CPT violation

By A. Kostelecky, R. Lehnert. 2000

387 citations recorded by the source corpus.

Stability 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8a8da30a174347d60b8a6d14d68c3d0906874405

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Lorentz violation at high energy: Concepts, phenomena, and astrophysical constraints (2005, background): “This reaction has been studied previously in the context of the SME [48,65].”
Modern Tests of Lorentz Invariance (2005, background): “n for surfaces that are pierced twice by the curves. The existence of such a curve would lead to a breakdown of microcausality. Lorentz violation can induce a breakdown of microcausality, as shown in [176]. In this work, the authors ﬁnd that microcausality is violated if the group velocity of any ﬁe”