Feynman Diagrams of Generalized Matrix Models and the Associated Manifolds in Dimension 4

Details Feynman Diagrams of Generalized Matrix Models and the Associated Manifolds in Dimension 4 Feynman Diagrams of Generalized Matrix Models and the Associated Manifolds in Dimension 4

2000-04-14

arxiv.org/abs/gr-qc/0004045v2

J.Math.Phys. 41 (2000) 6671-6688

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 10 figures. Minor canges

Scientific paper

The problem of constructing a quantum theory of gravity has been tackled with very different strategies, most of which relying on the interplay between ideas from physics and from advanced mathematics. On the mathematical side, a central role is played by combinatorial topology, often used to recover the space-time manifold from the other structures involved. An extremely attractive possibility is that of encoding all possible space-times as specific Feynman diagrams of a suitable field theory. In this work we analyze how exactly one can associate combinatorial 4-manifolds to the Feynman diagrams of certain tensor theories.

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