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Cited by 297Relativity and Gravitational TheoryNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics

Nonrenormalizability of the quantized Dirac-Einstein system

Deser, S., van Nieuwenhuizen, P.·1974·Physical Review D
DOI 10.1103/physrevd.10.411
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Abstract

The coupled Dirac-Einstein system is quantized and shown to be one-loop nonrenormalizable: The diagrams with eight external fermions yield a divergence proportional to the fourth power of the fermion axial-vector current. The gravitational variables required to couple gravitation to fermions are the (sixteen) vierbein fields possessing local Lorentz as well as coordinate invariance. For gravitation coupled to bosons, the vierbein and metric formulations remain equivalent at the quantum level.

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Crossref · 10.1103/physrevd.10.411

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  • The geometric structure description is closely related to the first-order Chern-Simons formalism, which connects back to the standard metric formalism.

    “Fortunately, the description is closely related to the more familiar first-order Chern-Simons formalism [108, 277, 279, 2], which, in turn, can connect us back to the standard metric formalism.”

    From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [108]

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Authors
Deser, S., & van Nieuwenhuizen, P.
Affiliations
Brandeis University (US)
ORCID
Deser, S.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1974-07-15
Volume
10
Issue
2
Pages
411-420
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.10.411
OpenAlex
W2063904131
Cited by
297
References
1
Citations by year
2026: 12 · 2025: 12 · 2024: 9 · 2023: 9 · 2022: 8 · 2021: 7 · 2020: 6 · 2019: 9 · 2018: 8 · 2017: 6 · 2016: 11 · 2015: 11 · 2014: 9 · 2013: 7 · 2012: 10
FWCI
16.87
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)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
non-renormalizability, one-loop divergences, axial current, local Lorentz invariance, metric formulation, quantum gravity

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