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

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

2006-12-29

arxiv.org/abs/hep-th/0612301v2

J.Phys.Conf.Ser.67:012052,2007

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures; to appear in the Proceedings of the DICE 2006 Workshop (Piombino, Italy), uses IOP Conf style; v2: typos

Scientific paper

10.1088/1742-6596/67/1/012052

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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