Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-04-26
Phys.Rev.D82:124031,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, 1 figure, published version
Scientific paper
10.1103/PhysRevD.82.124031
We study a holomorphic representation for spinfoams. The representation is obtained via the Ashtekar-Lewandowski-Marolf-Mour\~ao-Thiemann coherent state transform. We derive the expression of the 4d spinfoam vertex for Euclidean and for Lorentzian gravity in the holomorphic representation. The advantage of this representation rests on the fact that the variables used have a clear interpretation in terms of a classical intrinsic and extrinsic geometry of space. We show how the peakedness on the extrinsic geometry selects a single exponential of the Regge action in the semiclassical large-scale asymptotics of the spinfoam vertex.
Bianchi Eugenio
Magliaro Elena
Perini Claudio
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