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Abstract: We offer a perspective on some recent results obtained in the context of thegroup field theory approach to quantum gravity, on top of reviewing thembriefly. These concern a natural mechanism for the emergence of non-commutativefield theories for matter directly from the GFT action, in both 3 and 4dimensions and in both Riemannian and Lorentzian signatures. As such theyrepresent an important step, we argue, in bridging the gap between a quantum,discrete picture of a pre-geometric spacetime and the effective continuumgeometric physics of gravity and matter, using ideas and tools from fieldtheory and condensed matter analog gravity models, applied directly at the GFTlevel.



Autor: Daniele Oriti

Fuente: https://arxiv.org/







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