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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevD.95.066008.pdf | 391.66 kB | Adobe PDF | 見る/開く |
タイトル: | Equation of motion of canonical tensor model and Hamilton-Jacobi equation of general relativity |
著者: | Chen, Hua Sasakura, Naoki https://orcid.org/0000-0003-3668-1074 (unconfirmed) Sato, Yuki |
著者名の別形: | 笹倉, 直樹 |
発行日: | 15-Mar-2017 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review D |
巻: | 95 |
号: | 6 |
論文番号: | 066008 |
抄録: | The canonical tensor model (CTM) is a rank-three tensor model formulated as a totally constrained system in the canonical formalism. The constraint algebra of CTM has a similar structure as that of the Arnowitt-Deser-Misner formalism of general relativity, and it is studied as a discretized model for quantum gravity. In this paper, we analyze the classical equation of motion (EOM) of CTM in a formal continuum limit through a derivative expansion of the tensor of CTM up to the fourth order, and we show that it is the same as the EOM of a coupled system of gravity and a scalar field derived from the Hamilton-Jacobi equation with an appropriate choice of an action. The action contains a scalar field potential of an exponential form, and the system classically respects a dilatational symmetry. We find that the system has a critical dimension, given by six, over which it becomes unstable due to the wrong sign of the scalar kinetic term. In six dimensions, de Sitter spacetime becomes a solution to the EOM, signaling the emergence of a conformal symmetry, while the time evolution of the scale factor is a power law in dimensions below six. |
著作権等: | © 2017 American Physical Society 許諾条件に基づいて掲載しています。 |
URI: | http://hdl.handle.net/2433/250153 |
DOI(出版社版): | 10.1103/PhysRevD.95.066008 |
出現コレクション: | 学術雑誌掲載論文等 |
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