Schrödinger-like Dilaton Gravity
We investigate possibilities for a Schrödinger-like gravity with the dynamical critical exponent z=2, where the action only contains the first-order time derivative. The Horava gravity always admits such a relevant deformation because the full (d+1) dimensional diffeomorphism of the Einstein gravity...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2011 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2011
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146794 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Schrödinger-like Dilaton Gravity / Yu Nakayama // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 15 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862602829356597248 |
|---|---|
| author | Nakayama, Yu |
| author_facet | Nakayama, Yu |
| citation_txt | Schrödinger-like Dilaton Gravity / Yu Nakayama // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We investigate possibilities for a Schrödinger-like gravity with the dynamical critical exponent z=2, where the action only contains the first-order time derivative. The Horava gravity always admits such a relevant deformation because the full (d+1) dimensional diffeomorphism of the Einstein gravity is replaced by the foliation preserving diffeomorphism. The dynamics is locally trivial or topological in the pure gravity case, but we can construct a dynamical field theory with a z=2 dispersion relation by introducing a dilaton degree of freedom. Our model provides a classical starting point for the possible quantum dilaton gravity which may be applied to a membrane quantization.
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| first_indexed | 2025-11-28T03:44:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146794 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T03:44:10Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nakayama, Yu 2019-02-11T15:19:09Z 2019-02-11T15:19:09Z 2011 Schrödinger-like Dilaton Gravity / Yu Nakayama // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 15 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83D05 DOI:10.3842/SIGMA.2011.014 https://nasplib.isofts.kiev.ua/handle/123456789/146794 We investigate possibilities for a Schrödinger-like gravity with the dynamical critical exponent z=2, where the action only contains the first-order time derivative. The Horava gravity always admits such a relevant deformation because the full (d+1) dimensional diffeomorphism of the Einstein gravity is replaced by the foliation preserving diffeomorphism. The dynamics is locally trivial or topological in the pure gravity case, but we can construct a dynamical field theory with a z=2 dispersion relation by introducing a dilaton degree of freedom. Our model provides a classical starting point for the possible quantum dilaton gravity which may be applied to a membrane quantization. The work was supported in part by the National Science Foundation under Grant No. PHY05-55662 and the UC Berkeley Center for Theoretical Physics and World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Schrödinger-like Dilaton Gravity Article published earlier |
| spellingShingle | Schrödinger-like Dilaton Gravity Nakayama, Yu |
| title | Schrödinger-like Dilaton Gravity |
| title_full | Schrödinger-like Dilaton Gravity |
| title_fullStr | Schrödinger-like Dilaton Gravity |
| title_full_unstemmed | Schrödinger-like Dilaton Gravity |
| title_short | Schrödinger-like Dilaton Gravity |
| title_sort | schrödinger-like dilaton gravity |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146794 |
| work_keys_str_mv | AT nakayamayu schrodingerlikedilatongravity |