Stability, causality, and Lorentz and CPT violation

V. Alan Kostelecký and Ralf Lehnert
Phys. Rev. D 63, 065008 – Published 13 February 2001
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Abstract

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.

  • Received 1 November 2000

DOI:https://doi.org/10.1103/PhysRevD.63.065008

©2001 American Physical Society

Authors & Affiliations

V. Alan Kostelecký and Ralf Lehnert

  • Physics Department, Indiana University, Bloomington, Indiana 47405

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Issue

Vol. 63, Iss. 6 — 15 March 2001

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