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Wave Function of Non-Vacuum Universe in Ashtekar Theory
Authors:Hao-Gang DING  Chao-Guang HUANG  Yao-Yang LIU  Yuan-Zhong ZHANG
Institution:1. Department of Physics, Peking University, Beijing 100871, China; 2. Institute of High Energy Physics, Academia Sinica, Beijing 100039, China; 3. Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; 4. Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China
Abstract:In this paper, we studied the wave function of the universe in the (anti-) self-dual representation for the cosmological-model in which the closed Robertson- Walker spacetime is minimally coupled to a massless scalar field and the cosmological constant is equal to zero. We found that some wave functions in the (anti-) self-dual representation cannot be mapped into the σ-representation, or the metric representation, and vice versa.
Keywords:
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