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The Wave Function of the Universe by the New Euclidean Path-integral Approach in Quantum Cosmology

Atushi Ishikawa·Haruhiko Ueda
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Abstract

The wave function of the universe is evaluated by using the Euclidean path integral approach. As is well known, the real Euclidean path integral diverges because the Einstein-Hilbert action is not positive definite. In order to obtain a finite wave function, we propose a new regularization method and calculate the wave function of the Friedmann- Robertson-Walker type minisuperspace model. We then consider a homogeneous but anisotropic type minisuperspace model, which is known as the Bianch type I model. The physical meaning of the wave function by this new regularization method is also examined.

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Atushi Ishikawa, Haruhiko Ueda. 1992-10-08. The Wave Function of the Universe by the New Euclidean Path-integral Approach in Quantum Cosmology. https://doi.org/10.1142/s0218271893000192

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