Summary
We try to solve the Wheeler-DeWitt (WDW) equation in the WKB expansion by using heat-kernel regularization. An approximate wave function of the WDW equation up to terms that contain second-order spatial gradients is given. We also discuss the renormalization group equation for the wave function.
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Horiguchi, T. WKB approximation and renormalizability of the Wheeler-DeWitt equation. Nuov Cim B 111, 85–92 (1996). https://doi.org/10.1007/BF02726204
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DOI: https://doi.org/10.1007/BF02726204