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A quantum field theory of simplicial geometry and the emergence of spacetime

Daniele Oriti
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Abstract

We present the case for a fundamentally discrete quantum spacetime and for Group Field Theories as a candidate consistent description of it, briefly reviewing the key properties of the GFT formalism. We then argue that the outstanding problem of the emergence of a continuum spacetime and of General Relativity from fundamentally discrete quantum structures should be tackled from a condensed matter perspective and using purely QFT methods, adapted to the GFT context. We outline the picture of continuum spacetime as a condensed phase of a GFT and a research programme aimed at realizing this picture in concrete terms.

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Daniele Oriti. 2007-01-29. A quantum field theory of simplicial geometry and the emergence of spacetime. https://doi.org/10.1088/1742-6596%2F67%2F1%2F012052

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