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タイトル: | A RENORMALIZATION PROCEDURE FOR TENSOR MODELS AND SCALAR-TENSOR THEORIES OF GRAVITY |
著者: | SASAKURA, NAOKI https://orcid.org/0000-0003-3668-1074 (unconfirmed) |
著者名の別形: | 笹倉, 直樹 |
キーワード: | Tensor model emergent space–time emergent general relativity scalar-tensor theory of gravity renormalization fuzzy space quantum gravity |
発行日: | 20-Sep-2010 |
出版者: | World Scientific Publishing Co. |
誌名: | International Journal of Modern Physics A |
巻: | 25 |
号: | 23 |
開始ページ: | 4475 |
終了ページ: | 4492 |
抄録: | Tensor models are more-index generalizations of the so-called matrix models, and provide models of quantum gravity with the idea that spaces and general relativity are emergent phenomena. In this paper, a renormalization procedure for the tensor models whose dynamical variable is a totally symmetric real three-tensor is discussed. It is proven that configurations with certain Gaussian forms are the attractors of the three-tensor under the renormalization procedure. Since these Gaussian configurations are parametrized by a scalar and a symmetric two-tensor, it is argued that, in general situations, the infrared dynamics of the tensor models should be described by scalar-tensor theories of gravity. |
著作権等: | © 2010 World Scientific Publishing Co. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
URI: | http://hdl.handle.net/2433/130689 |
DOI(出版社版): | 10.1142/S0217751X10050433 |
出現コレクション: | 学術雑誌掲載論文等 |
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