Asymptotic analysis of the EPRL four-simplex amplitude
By John W. Barrett, R. J. Dowdall, W. Fairbairn, H. Gomes, Frank Hellmann. 2009
206 citations recorded by the source corpus.
The semiclassical limit of a 4-simplex amplitude for a spin foam quantum gravity model with an Immirzi parameter is studied. If the boundary state represents a non-degenerate 4-simplex geometry, the asymptotic formula contains the Regge action for general relativity. A canonical choice of phase for the boundary state is introduced and is shown to be necessary to obtain the results.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4aa244f4027117526a3fa4463d92b562489a415b
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
- Alejandro Perez
- Carlo Rovelli
- John W. Barrett
- Frank Hellmann
- R. J. Dowdall
- W. Fairbairn
- Roberto Pereira
- Simone Speziale
In Nuclear and High Energy Physics
- Alejandro Perez
- Carlo Rovelli
- Frank Hellmann
- R. J. Dowdall
- W. Fairbairn
- Simone Speziale
- John W. Barrett
- Roberto Pereira
In Statistical and Nonlinear Physics
- Alejandro Perez
- Carlo Rovelli
- Simone Speziale
- Frank Hellmann
- R. J. Dowdall
- W. Fairbairn
- John W. Barrett
- Roberto Pereira
Citations in the corpus
- Polyhedra in loop quantum gravity (2010, background): “The reduced states are still an overcomplete basis of HF , as a consequence of the Guillemin-Sternberg theorem [9, 31].”
- Lorentzian spin foam amplitudes: graphical calculus and asymptotics (2009, methodology): “all the bivector geometry constraints [4] except possibly the four-dimensional non-degeneracy condition, which states that the bivectors span the 6-dimensional space of bivectors. However, Lemma 3 of [21] which states that the bivector geometry is either fully non-degenerate or fully contained in a ”
- The Spin-Foam Approach to Quantum Gravity (2012, methodology): “We follow the notation and terminology of [61] and related papers.”
- Zakopane lectures on loop gravity (2011, background): “31) and the action of general relativity has been first studied in the Euclidean context (not discussed here) [65, 66, 67] and then extended to the relevant Lorentzian domain [58].”
- A new look at loop quantum gravity (2010, background): “The analysis of vertex (49) as well as that of its Euclidean analogue (55) in this limit has been carried out in great detail for the 5-valent vertex, by the Nottingham group [30, 31, 51, 52].”