Lorentzian spinfoam propagator

Eugenio Bianchi; You Ding

doi:10.1103/PhysRevD.86.104040

Lorentzian spinfoam propagator

Eugenio Bianchi, You Ding

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

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	https://doi.org/10.1103/PhysRevD.86.104040
State	Published - Nov 16 2012

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.86.104040

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AU - Ding, You

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AB - 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.

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Lorentzian spinfoam propagator

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