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The Quantum Tetrahedron in 3 and 4 Dimensions (1999)
Journal Article
Baez, J. C., & Barrett, J. W. (1999). The Quantum Tetrahedron in 3 and 4 Dimensions

Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in the `quantum tetrahedron'. Starting with a classical phase space whose points correspond to geometries of the tetrahedron in R^3, we use geometric quantiz... Read More

The asymptotics of an amplitude for the 4-simplex (1999)
Journal Article
Barrett, J. W., & Williams, R. M. (1999). The asymptotics of an amplitude for the 4-simplex

An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional face in the 4-simplex. The asymptotic formula has... Read More