Lorentzian spinfoam propagator

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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Submitted on : Friday, March 28, 2014 - 11:47:05 AM
Last modification on : Thursday, September 13, 2018 - 12:08:04 PM

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Eugenio Bianchi, You Ding. Lorentzian spinfoam propagator. Physical Review D, American Physical Society, 2012, 86, pp.104040. ⟨10.1103/PhysRevD.86.104040⟩. ⟨hal-00967274⟩

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