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タイトル: | Noether’s 1st theorem with local symmetries |
著者: | Aoki, Sinya |
著者名の別形: | 青木, 愼也 |
キーワード: | A02 Other topics in general physics B00 Lattice gauge field theories E00 Gravity in general |
発行日: | Dec-2022 |
出版者: | Oxford University Press (OUP) |
誌名: | Progress of Theoretical and Experimental Physics |
巻: | 2022 |
号: | 12 |
論文番号: | 123A02 |
抄録: | Noether’s 2nd theorem applied to a total system states that a global symmetry which is a part of local symmetries does not provide a physically meaningful conserved charge but it instead leads to off-shell constraints as a form of conserved currents. In this paper, we propose a general method to derive a matter-conserved current associated with a special global symmetry in the presence of local symmetries. While currents derived from local symmetries of a matter sector with a covariant background gauge field are not conserved in general, we show that the current associated with a special type of a global symmetry, called a hidden matter symmetry, is on-shell conserved. We apply this derivation to a U(1) gauge theory, general relativity and non-abelian gauge theory. In general relativity, the associated conserved charge agrees with the one recently proposed from a different point of view. |
著作権等: | © The Author(s) 2022. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. Funded by SCOAP3. SCOAP3 and OUP support the goals of the International Year of Basic Sciences for Sustainable Development |
URI: | http://hdl.handle.net/2433/285354 |
DOI(出版社版): | 10.1093/ptep/ptac160 |
出現コレクション: | 学術雑誌掲載論文等 |

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