The euclidean vacuum: Justification from quantum cosmology |
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Institution: | 1. Tripler Army Medical Center, Honolulu, HI;2. Central Michigan University, College of Medicine, Mount Pleasant, MI;1. Department of Physics and Center for High Energy Physics, Chung Yuan Christian University, Chung Li City, Taiwan;2. Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei 106, Taiwan |
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Abstract: | We evaluate the wave function of the universe for a de Sitter minisuperspace with inhomogeneous matter perturbations from a massive scalar field. From the Wheeler-DeWitt equation, we derive Schrödinger equations for the matter modes. We show that the matter part of the Hartle-Hawking wave function is the euclidean vacuum state of quantum field theory in curved spacetime. |
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