Discrete Gauge Theory: From Lattices to TQFT
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BF amplitudes are independent of the regulating triangulation, and with suitable regularization of bubble divergences the BF partition function is topologically invariant and discretization independent.
“using this graphical notation one can easily prove the discretization independence of the BF amplitudes.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [286]
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Change of Basis and F-Matrices1
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0009
(2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.002.0003
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0018
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Exchanging Identical Particles
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Short Digression on Quantum Gravity
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Appendix: Some Mathematical Basics
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(2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.002.0004
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0023
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Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0015
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0013
Appendix: Kac and Other Resources for TQFTs
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0039
Fusion and Structure of Hilbert Space
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0008
Introduction: History of Topology, Knots, Peter Tait, and Lord Kelvin
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0001
Defining Topological Quantum Field Theory
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The Toric Code as a Phase of Matter and a TQFT
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Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0011
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0012
Bosons and Fermions from Group Representations: Rep(G)
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0020
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0003
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0017
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Formal Construction of TQFTs from Diagrams: Surgery and More Complicated 3-Manifolds1
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0024
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0034
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0033
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0031
Nice Theories with Planar or Three-Dimensional Isotopy
Simon, S. H. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780198886723.003.0016
Holonomy Observables for the Turaev–Viro Model of Quantum Gravity
da Silveira, V. M. G., Hadjimichef, D., Luna, E. G. S., & Vasconcellos, C. A. Z. (2025) · Astronomische Nachrichten · doi:10.1002/asna.20250010
- Authors
- Oeckl, R.
- Affiliations
- Universidad Nacional Autónoma de México (MX)
- Corresponding author
- Oeckl, Robert
- ORCID
- Oeckl, Robert
- Venue
- IMPERIAL COLLEGE PRESS eBooks
- Published
- 2005-08
- DOI
- 10.1142/p404
- OpenAlex
- W4242547918
- Cited by
- 23
- References
- 0
- Citations by year
- 2025: 1 · 2023: 2 · 2021: 1 · 2020: 2 · 2019: 1 · 2017: 1 · 2016: 1 · 2015: 1 · 2013: 5 · 2012: 1
- FWCI
- 0.83
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- IMPERIAL COLLEGE PRESS eBooks (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Keywords
- discrete gauge theory, lattice gauge theory, gauge fields, discrete symmetries
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