Spin foam quantization and anomalies
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The simple BF measure chosen in the presentation satisfies the background independence requirements.
“The simple BF measure chosen in the presentation of the amplitudes in the previous sections satisfies these requirements.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [90]
Second-class constraints modify the path-integral measure.
“However, in the path integral formulation, the presence of constraints has the additional effect of modifying the weights with which those histories are to be summed: second-class constraints modify the path-integral measure (in the spin-foam context this issue was raised in [90]).”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [90]
The requirement of anomaly freedom under the discrete symmetry can be met by suitable definitions of the transition amplitudes.
“We have seen that this requirement (advocated in [90]) can be met by suitable definitions of the transition amplitudes [49, 235]”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [90]
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References 37 · Cited by 35
Research works printed but not linked: 2
- [27][27] Thiemann T 2001 Introduction to Modern Canonical Quantum General Relativity Preprint grqc/0110034 -
- [29][29] Zapata J A 1999 A Combinatorial Approach to Quantum Gauge Theories and Quantum Gravity Preprint UMI-99-01167 -
- Authors
- Bojowald, M., & Perez, A.
- Affiliations
- Pennsylvania State University (US)
- Venue
- General Relativity and Gravitation
- Published
- 2009-10-02
- Volume
- 42
- Issue
- 4
- Pages
- 877-907
- ISSN
- 0001-7701 (ISSN-L)
- 1572-9532
- OpenAlex
- W2016577261
- Cited by
- 35
- References
- 37
- Citations by year
- 2025: 1 · 2020: 1 · 2018: 1 · 2017: 1 · 2016: 3 · 2015: 2 · 2014: 3 · 2013: 5 · 2012: 10
- FWCI
- 3.90
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- General Relativity and Gravitation (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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
- spin foam models, path integral measure, anomalies, background independence, constraint algebra, gauge fixing, quantum gravity
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