Emergent non-commutative matter fields from Group Field Theory models of 
quantum spacetime

Oriti, Daniele

doi:10.1088/1742-6596/174/1/012047

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Emergent non-commutative matter fields from Group Field Theory models of quantum spacetime

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Oriti, Daniele
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Oriti, D. (2009). Emergent non-commutative matter fields from Group Field Theory models of quantum spacetime. Journal of Physics: Conference Series, 174: 012047.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-45F8-C

Abstract

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