Wave Function of Non-Vacuum Universe in Ashtekar Theory |
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Authors: | Hao-Gang DING Chao-Guang HUANG Yao-Yang LIU Yuan-Zhong ZHANG |
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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 |
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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. |
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