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Cited by 94Noncommutative and Quantum Gravity TheoriesRelativity and Gravitational TheoryBlack Holes and Theoretical Physics

The DOI matches its Crossref record; 56 of the 56 references it cites were found in a registry or an index.

(Broken) Gauge symmetries and constraints in Regge calculus

Open access
Bahr, Benjamin, Dittrich, Bianca·2009·Classical and Quantum Gravity
DOI 10.1088/0264-9381/26/22/225011
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Abstract

We will examine the issue of diffeomorphism symmetry in simplicial models of (quantum) gravity, in particular for Regge calculus. We find that for a solution with curvature there do not exist exact gauge symmetries on the discrete level. Furthermore, we derive a canonical formulation that exactly matches the dynamics and hence symmetries of the covariant picture. In this canonical formulation broken symmetries lead to the replacements of constraints by so-called pseudo constraints. These considerations should be taken into account in attempts to connect spin foam models, based on the Regge action, with canonical loop quantum gravity, which aims at implementing proper constraints. We will argue that the long-standing problem of finding a consistent constraint algebra for discretized gravity theories is equivalent to the problem of finding an action with exact diffeomorphism symmetries. Finally, we will analyze different limits in which the pseudo constraints might turn into proper constraints. This could be helpful to infer alternative discretization schemes in which the symmetries are not broken.

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  • There exist possible discretizations of a field theory that maintain the full symmetry content of their continuum relatives (perfect actions).

    “Indeed, there exist possible discretizations of a field theory, which maintain the full symmetry content of their continuum relatives. These regularizations are called perfect actions”

    From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [44]

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Research works printed but not linked: 3

  1. Fleischhack C, 2004, Commun. Math. Phys.
  2. Dittrich B, 2209, Adv. Sci. Lett., 2, 121
  3. Milnor J, 1994, Collected Papers, 1

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Metadata

Authors
Bahr, B., & Dittrich, B.
Affiliations
  • University of Cambridge (GB)
  • Utrecht University (NL)
ORCID
Dittrich, Bianca
Venue
Classical and Quantum Gravity
Publisher
IOP Publishing
Published
2009-10-23
Volume
26
Issue
22
Pages
225011
ISSN
  • 0264-9381 (ISSN-L)
  • 1361-6382
DOI
10.1088/0264-9381/26/22/225011
OpenAlex
W2134505648
Cited by
94
References
56
Citations by year
2025: 1 · 2024: 5 · 2023: 7 · 2022: 4 · 2021: 4 · 2020: 5 · 2019: 4 · 2018: 4 · 2017: 4 · 2016: 7 · 2015: 3 · 2014: 9 · 2013: 8 · 2012: 14
FWCI
6.65
Type
journal article
Language
en
Open access
Locations
  • Classical and Quantum Gravity (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Max Planck Institute for Plasma Physics (submittedVersion)
  • arXiv (Cornell University)
Funders
  • European Commission
  • European Social Fund
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy 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
Regge calculus, diffeomorphism symmetry, gauge symmetry breaking, simplicial quantum gravity, canonical formulation, constraint algebra, spin foam models, loop quantum gravity, Regge action

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