Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-09-26
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 7 figures; RevTex4; to appear in the proceedings of the Conference on Combinatorics and Physics, MPIM Bonn, March 19
Scientific paper
Group field theories are a new type of field theories over group manifolds and a generalization of matrix models, that have recently attracted much interest in quantum gravity research. They represent a development of and a possible link between different approaches such as loop quantum gravity and simplicial quantum gravity. After a brief introduction to the GFT formalism we put forward a long but still far from exhaustive list of open issues that this line of research faces, and that could be represent interesting challenges for mathematicians and mathematical physicists alike.
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