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An Introduction to Spin Foam Models of Quantum Gravity and BF Theory | | John C. Baez
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22 May 1999 | | Journal: | Lect.Notes Phys. 543 (2000) 25-94 | | Subject: | General Relativity and Quantum Cosmology; Quantum Algebra | gr-qc hep-th math.QA | | Abstract: | 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. | | Source: | arXiv, gr-qc/9905087 | | Services: | Forum | Review | PDF | Favorites | |
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