Multi-Galileons, solitons, and Derrick’s theorem
The field theory Galilean symmetry, which was introduced in the context of modified gravity, gives a neat way to construct Lorentz-covariant theories of a scalar field, such that the equations of motion contain at most second-order derivatives. Here we extend the analysis to an arbitrary number of s...
| Main Authors: | , , |
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| Format: | Article |
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American Physical Society
2011
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| Online Access: | https://eprints.nottingham.ac.uk/42134/ |
| _version_ | 1848796427736580096 |
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| author | Padilla, Antonio Saffin, Paul M. Zhou, Shuang-Yong |
| author_facet | Padilla, Antonio Saffin, Paul M. Zhou, Shuang-Yong |
| author_sort | Padilla, Antonio |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The field theory Galilean symmetry, which was introduced in the context of modified gravity, gives a neat way to construct Lorentz-covariant theories of a scalar field, such that the equations of motion contain at most second-order derivatives. Here we extend the analysis to an arbitrary number of scalars, and examine the restrictions imposed by an internal symmetry, focussing in particular on SU(N) and SO(N). This therefore extends the possible gradient terms that may be used to stabilise topological objects such as sigma model lumps. |
| first_indexed | 2025-11-14T19:47:49Z |
| format | Article |
| id | nottingham-42134 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:47:49Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-421342020-05-04T16:30:24Z https://eprints.nottingham.ac.uk/42134/ Multi-Galileons, solitons, and Derrick’s theorem Padilla, Antonio Saffin, Paul M. Zhou, Shuang-Yong The field theory Galilean symmetry, which was introduced in the context of modified gravity, gives a neat way to construct Lorentz-covariant theories of a scalar field, such that the equations of motion contain at most second-order derivatives. Here we extend the analysis to an arbitrary number of scalars, and examine the restrictions imposed by an internal symmetry, focussing in particular on SU(N) and SO(N). This therefore extends the possible gradient terms that may be used to stabilise topological objects such as sigma model lumps. American Physical Society 2011-02-14 Article PeerReviewed Padilla, Antonio, Saffin, Paul M. and Zhou, Shuang-Yong (2011) Multi-Galileons, solitons, and Derrick’s theorem. Physical Review D, 83 (4). p. 5009. ISSN 2470-0029 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.83.045009 doi:10.1103/PhysRevD.83.045009 doi:10.1103/PhysRevD.83.045009 |
| spellingShingle | Padilla, Antonio Saffin, Paul M. Zhou, Shuang-Yong Multi-Galileons, solitons, and Derrick’s theorem |
| title | Multi-Galileons, solitons, and Derrick’s theorem |
| title_full | Multi-Galileons, solitons, and Derrick’s theorem |
| title_fullStr | Multi-Galileons, solitons, and Derrick’s theorem |
| title_full_unstemmed | Multi-Galileons, solitons, and Derrick’s theorem |
| title_short | Multi-Galileons, solitons, and Derrick’s theorem |
| title_sort | multi-galileons, solitons, and derrick’s theorem |
| url | https://eprints.nottingham.ac.uk/42134/ https://eprints.nottingham.ac.uk/42134/ https://eprints.nottingham.ac.uk/42134/ |