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

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

1992-10-07

arxiv.org/abs/gr-qc/9210003v2

Int. J. Mod. Phys. D2 (1993) 249

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

10.1142/S0218271893000192

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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