TL;DR
This paper calculates the two-point correlation function in the Lorentzian EPRL spinfoam model, demonstrating its agreement with Regge calculus in a specific limit, and introduces a new Lorentzian boundary state concept.
Contribution
It provides the first detailed calculation of the Lorentzian spinfoam propagator and introduces a novel Lorentzian boundary state with time orientation.
Findings
Correlation function matches Regge calculus in the semiclassical limit
Introduction of a Lorentzian boundary state with past- and future-pointing intertwiners
Semiclassical correlation function obtained for a time-oriented boundary state
Abstract
The two-point correlation function is calculated in the Lorentzian EPRL spinfoam model, and shown to match with the one in Regge calculus in a proper limit: large boundary spins, and small Barbero-Immirzi parameter, keeping the size of the quantum geometry 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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