Abstract
The two-point correlation function is calculated in the Lorentzian Engle-Pereira-Rovelli-Livine spinfoam model and shown to match with the one in Regge calculus in a proper limit: large boundary spins j→ and small Barbero-Immirzi parameter γ→0, keeping the size of the quantum geometry A∼γj finite and fixed. Compared to the Euclidean case, the definition of a Lorentzian boundary state involves a new feature: the notion of past- and future-pointing intertwiners. The semiclassical correlation function is obtained for a time-oriented semiclassical boundary state.
| Original language | English (US) |
|---|---|
| Article number | 104040 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 86 |
| Issue number | 10 |
| DOIs | |
| State | Published - Nov 16 2012 |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
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