Spin foams as Feynman diagrams

Details Spin foams as Feynman diagrams Spin foams as Feynman diagrams

2000-02-24

arxiv.org/abs/gr-qc/0002083v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 4 figures

Scientific paper

It has been recently shown that a certain non-topological spin foam model can be obtained from the Feynman expansion of a field theory over a group. The field theory defines a natural ``sum over triangulations'', which removes the cut off on the number of degrees of freedom and restores full covariance. The resulting formulation is completely background independent: spacetime emerges as a Feynman diagram, as it did in the old two-dimensional matrix models. We show here that any spin foam model can be obtained from a field theory in this manner. We give the explicit form of the field theory action for an arbitrary spin foam model. In this way, any model can be naturally extended to a sum over triangulations. More precisely, it is extended to a sum over 2-complexes.

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