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• W1525743445 abstract "We calculate the most divergent contribution to the non-degenerate sector of the self-energy (or melonic) graph in the context of the Lorentzian EPRL-FK Spin Foam model of Quantum Gravity. We find that such a contribution is logarithmically divergent in the cut-off over the SU(2)-representation spins when one chooses the face amplitude guaranteeing the face-splitting invariance of the foam.We also find that the dependence on the boundary data is different from that of the bare propagator. This fact has its origin in the non-commutativity of the EPRL-FK Y-map with the projector onto SL(2,C)-invariant states. In the course of the paper, we discuss in detail the approximations used during the calculations, its geometrical interpretation as well as the physical consequences of our result." @default.
• W1525743445 created "2016-06-24" @default.
• W1525743445 creator A5082979661 @default.
• W1525743445 date "2013-07-08" @default.
• W1525743445 modified "2023-10-16" @default.
• W1525743445 title "Self-energy of the Lorentzian Engle-Pereira-Rovelli-Livine and Freidel-Krasnov model of quantum gravity" @default.
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• W1525743445 doi "https://doi.org/10.1103/physrevd.88.024011" @default.
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