Stability, causality, and Lorentz and CPT violation
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Stability and causality are investigated for quantum field theories incorporating Lorentz and $\mathrm{CPT}$ 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 $\mathrm{CPT}$ violation. Our analysis supports the stability and causality of the Lorentz- and $\mathrm{CPT}$-violating standard-model extension that would emerge at low energies from spontaneous breaking in a realistic string theory.
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Microcausality is violated if the group velocity of any field mode is superluminal.
“In this work, the authors find that microcausality is violated if the group velocity of any field mode is superluminal.”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [176]
Lorentz violation can induce a breakdown of microcausality.
“Lorentz violation can induce a breakdown of microcausality, as shown in [176].”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [176]
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- Authors
- Kostelecký, V. A., & Lehnert, R.
- Affiliations
- Indiana University Bloomington (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2001-02-13
- Volume
- 63
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2063150439
- Cited by
- 527
- References
- 49
- Citations by year
- 2026: 10 · 2025: 13 · 2024: 10 · 2023: 17 · 2022: 18 · 2021: 21 · 2020: 10 · 2019: 21 · 2018: 15 · 2017: 20 · 2016: 30 · 2015: 23 · 2014: 21 · 2013: 23 · 2012: 28
- FWCI
- 18.93
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- IUScholarWorks (Indiana University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (DE‐FG02‐, FG0291ER40661, DEFG0291ER40661)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Keywords
- Lorentz violation, CPT violation, causality, microcausality, energy positivity, massive fermions, nonlocal theory, spontaneous symmetry breaking, beyond the Standard Model, string theory
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