An Introduction to Spin Foam Models of Quantum Gravity and BF Theory

Details An Introduction to Spin Foam Models of Quantum Gravity and BF Theory An Introduction to Spin Foam Models of Quantum Gravity and BF Theory

1999-05-21

arxiv.org/abs/gr-qc/9905087v1

Lect.Notes Phys. 543 (2000) 25-94

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

55 pages LaTeX, 31 encapsulated Postscript figures

Scientific paper

In loop quantum gravity we now have a clear picture of the quantum geometry of space, thanks in part to the theory of spin networks. The concept of `spin foam' is intended to serve as a similar picture for the quantum geometry of spacetime. In general, a spin network is a graph with edges labelled by representations and vertices labelled by intertwining operators. Similarly, a spin foam is a 2-dimensional complex with faces labelled by representations and edges labelled by intertwining operators. In a `spin foam model' we describe states as linear combinations of spin networks and compute transition amplitudes as sums over spin foams. This paper aims to provide a self-contained introduction to spin foam models of quantum gravity and a simpler field theory called BF theory.

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