Wavefunction of the universe and Chern-Simons perturbation theory

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19 Citations (Scopus)


The Chern-Simons exact solution of four-dimensional quantum gravity with nonvanishing cosmological constant is presented in metric variables as the partition function of Chern-Simons theory with nontrivial source. The perturbative expansion is given, and the wavefunction 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.

Original languageEnglish
Pages (from-to)1051-1063
Number of pages13
JournalClassical and Quantum Gravity
Issue number6
Publication statusPublished - 2002 Mar 21

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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