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Wave function of the Universe and Chern-Simons Perturbation Theory

Chopin Soo
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Abstract

The Chern-Simons exact solution of four-dimensional quantum gravity with nonvanishing cosmological constant is presented in metric variable as the partition function of a Chern-Simons theory with nontrivial source. The perturbative expansion is given, and the wave function is computed to the lowest order of approximation for the Cauchy surface which is topologically a 3-sphere. The state is well-defined even at degenerate and vanishing values of the dreibein. Reality conditions for the Ashtekar variables are also taken into account; and remarkable features of the Chern-Simons state and their relevance to cosmology are pointed out.

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Chopin Soo. 2002-02-28. Wave function of the Universe and Chern-Simons Perturbation Theory. https://doi.org/10.1088/0264-9381%2F19%2F6%2F303

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