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

MPG-Autoren
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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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0903.3970v1.pdf
(Preprint), 200KB

jpconf9_174_012047.pdf
(Verlagsversion), 576KB

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Zitation

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


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