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Cited by 59Noncommutative and Quantum Gravity TheoriesRelativity and Gravitational TheoryBlack Holes and Theoretical Physics

Coarse-graining free theories with gauge symmetries: the linearized case

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Bahr, Benjamin, Dittrich, Bianca, He, Song·2011·New Journal of Physics
DOI 10.1088/1367-2630/13/4/045009
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Abstract

Discretizations of continuum theories often do not preserve the gauge symmetry content. This occurs in particular for diffeomorphism symmetry in general relativity, which leads to severe difficulties in both canonical and covariant quantization approaches. We discuss here the method of perfect actions, which attempts to restore gauge symmetries by mirroring exactly continuum physics on a lattice via a coarse graining process. Analytical results can only be obtained via a perturbative approach, for which we consider the first step, namely the coarse graining of the linearized theory. The linearized gauge symmetries are exact also in the discretized theory; hence, we develop a formalism to deal with gauge systems. Finally, we provide a discretization of linearized gravity as well as a coarse graining map and show that with this choice the three-dimensional (3D) linearized gravity action is invariant under coarse graining.

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  • Evidence suggests that incorporating diffeomorphism symmetry into the models will produce discretization independence.

    “There is evidence [46, 146, 145] that the implementation of diffeomorphism symmetry into the models will lead to discretization independence.”

    From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [46]

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Cited by

Sorted by citations

Authors
Bahr, B., Dittrich, B., & He, S.
Affiliations
Max Planck Institute for Gravitational Physics (DE)
Corresponding author
He, Song
ORCID
Venue
New Journal of Physics
Publisher
IOP Publishing
Published
2011-04-11
Volume
13
Issue
4
Pages
045009
ISSN
1367-2630 (ISSN-L)
DOI
10.1088/1367-2630/13/4/045009
OpenAlex
W2011400442
Cited by
59
References
5
Citations by year
2026: 2 · 2024: 2 · 2023: 5 · 2022: 2 · 2021: 2 · 2020: 3 · 2019: 3 · 2018: 1 · 2017: 1 · 2016: 5 · 2015: 2 · 2014: 4 · 2013: 12 · 2012: 11
FWCI
7.34
Type
journal article
Language
en
Open access
Licence
cc-by
Locations
  • New Journal of Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
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 › Black Holes and Theoretical Physics
Keywords
coarse-graining, gauge invariance, perfect action, linearized gravity, diffeomorphism symmetry, lattice discretization, gauge systems, three-dimensional gravity, general relativity, perturbative approach

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