Semiclassical regime of Regge calculus and spin foams
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The EPRL two-point function agrees with Regge calculus in the γ → 0 limit.
“The two point function for the EPRL model was calculated in [75] and was shown to produce a result in agreement with that of Regge calculus [80, 260] in the limit γ → 0.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [80]
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Cites
Discreteness of area and volume in quantum gravity
Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365 · cited 2× · see citing works
“Newton’s constant enters in the argument of the cosine through the identification of the spins jf with the areas of the triangles by the LQG formula Aa = ~κγ jf for the large spin asymptotics of the spectrum of the area [18, 19].”
BackgroundQuantum theory of geometry: I. Area operators
Ashtekar, A., & Lewandowski, J. (1997) · Classical and Quantum Gravity · doi:10.1088/0264-9381/14/1a/006 · Cited by 852 · see citing works
LQG vertex with finite Immirzi parameter
Engle, J., Livine, E., Pereira, R., & Rovelli, C. (2008) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2008.02.018 · Cited by 584 · see citing works
Relativistic spin networks and quantum gravity
Barrett, J. W., & Crane, L. (1998) · Journal of Mathematical Physics · doi:10.1063/1.532254 · Cited by 404 · see citing works
Loop-Quantum-Gravity Vertex Amplitude
Engle, J., Pereira, R., & Rovelli, C. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.161301 · Cited by 335 · see citing works
Complete LQG propagator: Difficulties with the Barrett-Crane vertex
Alesci, E., & Rovelli, C. (2007) · Physical Review D · doi:10.1103/physrevd.76.104012 · Cited by 154 · cited 1× · see citing works
“Nc”
Asymptotics of 10 <i>j</i> symbols
Baez, J. C., Christensen, J. D., & Egan, G. (2002) · Classical and Quantum Gravity · doi:10.1088/0264-9381/19/24/315 · Cited by 80 · see citing works
The perturbative Regge-calculus regime of loop quantum gravity
Bianchi, E., & Modesto, L. (2008) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2007.12.011 · Cited by 34 · see citing works
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The Spin-Foam Approach to Quantum Gravity
Perez, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-3 · Cited by 677 · see citing works
Semiclassical limit of 4-dimensional spin foam models
Conrady, F., & Freidel, L. (2008) · Physical Review D · doi:10.1103/physrevd.78.104023 · Cited by 213 · see citing works
LQG propagator from the new spin foams
Bianchi, E., Magliaro, E., & Perini, C. (2009) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2009.07.016 · Cited by 126 · see citing works
Asymptotics of loop quantum gravity fusion coefficients
Alesci, E., Bianchi, E., Magliaro, E., & Perini, C. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/9/095016 · Cited by 15 · see citing works
- Authors
- Bianchi, E., & Satz, A.
- Affiliations
- University of Nottingham (GB)
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2009-02
- Volume
- 808
- Issue
- 3
- Pages
- 546-568
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2153881714
- Cited by
- 25
- References
- 8
- Citations by year
- 2024: 3 · 2020: 1 · 2019: 1 · 2016: 2 · 2013: 4 · 2012: 1
- FWCI
- 3.10
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion)
- arXiv (Cornell University)
- Funders
- European Social Fund
- 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 foams, semiclassical limit, graviton propagator, stationary phase method, triangulation, Regge action, quantum gravity
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