Spin-foams for all loop quantum gravity
By W. Kami'nski, M. Kisielowski, J. Lewandowski. 2009
200 citations recorded by the source corpus.
The simplicial framework of Engle–Pereira–Rovelli–Livine spin-foam models is generalized to match the diffeomorphism invariant framework of loop quantum gravity. The simplicial spin-foams are generalized to arbitrary linear 2-cell spin-foams. The resulting framework admits all the spin-network states of loop quantum gravity, not only those defined by triangulations (or cubulations). In particular, the notion of embedded spin-foam we use allows us to consider knotting or linking spin-foam histories. Also the main tools, the vertex structure and the vertex amplitude, are naturally generalized to an arbitrary valency case. The correspondence between all the SU(2) intertwiners and the SU(2)×SU(2) EPRL intertwiners is proved to be 1–1 in the case of the Barbero–Immirzi parameter |γ| ⩾ 1.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/197267ae67f3e95833ebfaf598932227e87dceb1
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
- F. Vidotto
- Simone Speziale
- Eugenio Bianchi
- P. Donà
- B. Dittrich
- L. Freidel
In Nuclear and High Energy Physics
- Carlo Rovelli
- Alejandro Perez
- F. Vidotto
- Eugenio Bianchi
- Simone Speziale
- P. Donà
- L. Freidel
- B. Dittrich
In Statistical and Nonlinear Physics
- Carlo Rovelli
- Alejandro Perez
- Simone Speziale
- Eugenio Bianchi
- F. Vidotto
- P. Donà
- B. Dittrich
- D. Oriti
Citations in the corpus
- Zakopane lectures on loop gravity (2011, background): “The existence of this generalization was emphasized in [21].”
- A new look at loop quantum gravity (2010, unknown): “This fact was nicely emphasized in [43].”
- Polyhedra in loop quantum gravity (2010, methodology): “Just as Regge calculus is useful to study the semiclassical behaviour on simplicial manifolds, a generalization thereof to arbitrary cellular decompositions could be relevant to the full theory, and allow us to test whether models such as the one proposed in [58] can be related to (discrete) general”
- The Spin-Foam Approach to Quantum Gravity (2012, background): “The extension of the model to arbitrary complexes was first studied in [237, 236] and has been revisited in [140].”
- Towards spinfoam cosmology (2010, background): “[6] Wojciech Kaminski, Marcin Kisielowski, and Jerzy Lewandowski.”