A combinatorial and field theoretic path to quantum gravity: the new challenges of group field theory
Abstract
Description
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.
16 pages, 7 figures; RevTex4; to appear in the proceedings of the Conference on Combinatorics and Physics, MPIM Bonn, March 19-23, 2007
16 pages, 7 figures; RevTex4; to appear in the proceedings of the Conference on Combinatorics and Physics, MPIM Bonn, March 19-23, 2007