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

  • John C. Baez
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 543)

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 labeled by represen- tations and vertices labeled by intertwining operators. Similarly, a spin foam is a 2-dimensional complex with faces labeled by representations and edges labeled by intertwining operators. In a ‘spin foam model’ we describe states as linear combina- tions 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.

Keywords

Gauge Group Quantum Gravity Wilson Loop Quantum Group Loop Quantum Gravity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • John C. Baez
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaRiverside, CaliforniaUSA

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