Radiative corrections to the Lorentzian EPRL spin foam propagator

Edward Wilson-Ewing; Pietro Don\`a; Pietropaolo Frisoni

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arxiv 2206.14755 v3 pith:ZNIRMEI2 submitted 2022-06-29 gr-qc

Radiative corrections to the Lorentzian EPRL spin foam propagator

Pietro Don\`a , Pietropaolo Frisoni , Edward Wilson-Ewing This is my paper

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keywords correctionsdiagramseprlfoamlorentzianpropagatorradiativespin

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We numerically estimate the divergence of several two-vertex diagrams that contribute to the radiative corrections for the Lorentzian EPRL spin foam propagator. We compute the amplitudes as functions of a homogeneous cutoff over the bulk quantum numbers, fixed boundary data, and different Immirzi parameters, and find that for a class of two-vertex diagrams, those with fewer than six internal faces are convergent. The calculations are done with the numerical framework sl2cfoam-next.

Radiative corrections to the Lorentzian EPRL spin foam propagator

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