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Cited by 1,315Noncommutative and Quantum Gravity TheoriesCosmology and Gravitation TheoriesQuantum and Classical Electrodynamics

Limits on a Lorentz- and parity-violating modification of electrodynamics

Carroll, Sean M., Field, George B., Jackiw, Roman·1990·Physical Review D
DOI 10.1103/physrevd.41.1231
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Abstract

The Chern-Simons Lagrangian has been studied previously in (2+1)-dimensional spacetime, where it is both gauge and Lorentz invariant. In 3+1 dimensions, this term couples the dual electromagnetic tensor to an external four-vector. If we take this four-vector to be fixed, the term is gauge invariant but not Lorentz invariant. In this paper, we examine both the theoretical consequences of such a modification and observational limits we can put on its magnitude. The Chern-Simons term would rotate the plane of polarization of radiation from distant galaxies, an effect which is not observed. From the observations we deduce that the magnitude of the vector is 1.7\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}42}$${h}_{0}$ GeV, where ${h}_{0}$ is the Hubble constant in units of 100 km ${\mathrm{sec}}^{\mathrm{\ensuremath{-}}1}$ ${\mathrm{Mpc}}^{\mathrm{\ensuremath{-}}1}$.

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Crossref · 10.1103/physrevd.41.1231

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  • Analyzing the plane of polarization of distant galaxies has been used to constrain the kAF term in the mSME to the level of 10−42 GeV.

    “This fact alone has been used to constrain the kAF term in the mSME to the level of 10−42 GeV by analyzing the plane of polarization of distant galaxies [74].”

    From Modern Tests of Lorentz Invariance (2005) · cites this paper as [74]

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Authors
Carroll, S. M., Field, G. B., & Jackiw, R.
Affiliations
Center for Astrophysics Harvard & Smithsonian (US)
ORCID
Carroll, Sean M.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1990-02-15
Volume
41
Issue
4
Pages
1231-1240
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.41.1231
OpenAlex
W2148545031
Cited by
1,315
References
25
Citations by year
2026: 54 · 2025: 76 · 2024: 71 · 2023: 75 · 2022: 69 · 2021: 69 · 2020: 55 · 2019: 37 · 2018: 42 · 2017: 44 · 2016: 59 · 2015: 60 · 2014: 40 · 2013: 35 · 2012: 46
FWCI
2.13
Type
journal article
Language
en
Open access
closed
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • PubMed (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
Keywords
Lorentz violation, parity violation, Chern-Simons term, modified electrodynamics, polarization rotation, birefringence, observational constraints, Hubble constant, four-dimensional spacetime

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