Irreversible vierbein postulate: Emergence of spacetime from quantum phase transition
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866912382629969920 |
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| author | Maitiniyazi, Yadikaer Matsuzaki, Shinya Oda, Kin-ya Yamada, Masatoshi |
| author_facet | Maitiniyazi, Yadikaer Matsuzaki, Shinya Oda, Kin-ya Yamada, Masatoshi |
| contents | We formulate a model for quantum gravity based on the local Lorentz symmetry and general coordinate invariance. A key idea is the irreversible vierbein postulate that a tree-level action for the model at a certain energy scale does not contain an inverse vierbein. Under this postulate, only the spinor becomes a dynamical field, and no gravitational background field is introduced in the tree-level action. In this paper, after explaining the transformation rules of the local Lorentz and general-coordinate transformations in detail, a tree-level action is defined. We show that fermionic fluctuations can induce a nonvanishing gravitational background field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16230 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Irreversible vierbein postulate: Emergence of spacetime from quantum phase transition Maitiniyazi, Yadikaer Matsuzaki, Shinya Oda, Kin-ya Yamada, Masatoshi High Energy Physics - Theory General Relativity and Quantum Cosmology We formulate a model for quantum gravity based on the local Lorentz symmetry and general coordinate invariance. A key idea is the irreversible vierbein postulate that a tree-level action for the model at a certain energy scale does not contain an inverse vierbein. Under this postulate, only the spinor becomes a dynamical field, and no gravitational background field is introduced in the tree-level action. In this paper, after explaining the transformation rules of the local Lorentz and general-coordinate transformations in detail, a tree-level action is defined. We show that fermionic fluctuations can induce a nonvanishing gravitational background field. |
| title | Irreversible vierbein postulate: Emergence of spacetime from quantum phase transition |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2309.16230 |