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We introduce the group field theory (GFT) formalism for non-perturbativequantum gravity, and present it as a potential unifying framework for severalother quantum gravity approaches, i.e. loop quantum gravity and simplicialquantum gravity ones. We then argue in favor of and present in detail what webelieve is a new GFT perspective on the emergence of continuum spacetime fromdiscrete quantum structures, based on the idea of quantum space as a condensedmatter system. We put forward a more specific, albeit still very muchtentative, proposal for the relevant phase of the GFT corresponding to thecontinuum: a Bose-Einstein condensate of GFT quanta. Finally, we sketch how theproposal may be realised and its effective dynamics could be extracted in theGFT setting and compared with continuum gravity theories.

Group field theory as the microscopic description of the quantum spacetime fluid: a new perspective on the continuum in quantum gravity