Stability analysis of classical string solutions and the dressing method
Abstract The dressing method is a technique to construct new solutions in non-linear sigma models under the provision of a seed solution. This is analogous to the use of autoBäcklund transformations for systems of the sine-Gordon type. In a recent work, this method was applied to the sigma model tha...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2019)106 |
| _version_ | 1818584762698170368 |
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| author | Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras |
| author_facet | Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras |
| author_sort | Dimitrios Katsinis |
| collection | DOAJ |
| description | Abstract The dressing method is a technique to construct new solutions in non-linear sigma models under the provision of a seed solution. This is analogous to the use of autoBäcklund transformations for systems of the sine-Gordon type. In a recent work, this method was applied to the sigma model that describes string propagation on ℝ × S2, using as seeds the elliptic string solutions. Some of the new solutions that emerge reveal instabilities of their elliptic precursors [1]. The focus of the present work is the fruitful use of the dressing method in the study of the stability of closed string solutions. It establishes an equivalence between the dressing method and the conventional linear stability analysis. More importantly, this equivalence holds true in the presence of appropriate periodicity conditions that closed strings must obey. Our investigations point to the direction of the dressing method being a general tool for the study of the stability of classical string configurations in the diverse class of symmetric spacetimes. |
| first_indexed | 2024-12-16T08:26:20Z |
| format | Article |
| id | doaj.art-d62e5f851576473c80d634857c941b36 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T08:26:20Z |
| publishDate | 2019-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d62e5f851576473c80d634857c941b362022-12-21T22:38:00ZengSpringerOpenJournal of High Energy Physics1029-84792019-09-012019912010.1007/JHEP09(2019)106Stability analysis of classical string solutions and the dressing methodDimitrios Katsinis0Ioannis Mitsoulas1Georgios Pastras2Department of Physics, School of Applied Mathematics and Physical Sciences, National Technical UniversityDepartment of Physics, School of Applied Mathematics and Physical Sciences, National Technical UniversityNCSR “Demokritos”, Institute of Nuclear and Particle PhysicsAbstract The dressing method is a technique to construct new solutions in non-linear sigma models under the provision of a seed solution. This is analogous to the use of autoBäcklund transformations for systems of the sine-Gordon type. In a recent work, this method was applied to the sigma model that describes string propagation on ℝ × S2, using as seeds the elliptic string solutions. Some of the new solutions that emerge reveal instabilities of their elliptic precursors [1]. The focus of the present work is the fruitful use of the dressing method in the study of the stability of closed string solutions. It establishes an equivalence between the dressing method and the conventional linear stability analysis. More importantly, this equivalence holds true in the presence of appropriate periodicity conditions that closed strings must obey. Our investigations point to the direction of the dressing method being a general tool for the study of the stability of classical string configurations in the diverse class of symmetric spacetimes.http://link.springer.com/article/10.1007/JHEP09(2019)106Bosonic StringsLong strings |
| spellingShingle | Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras Stability analysis of classical string solutions and the dressing method Journal of High Energy Physics Bosonic Strings Long strings |
| title | Stability analysis of classical string solutions and the dressing method |
| title_full | Stability analysis of classical string solutions and the dressing method |
| title_fullStr | Stability analysis of classical string solutions and the dressing method |
| title_full_unstemmed | Stability analysis of classical string solutions and the dressing method |
| title_short | Stability analysis of classical string solutions and the dressing method |
| title_sort | stability analysis of classical string solutions and the dressing method |
| topic | Bosonic Strings Long strings |
| url | http://link.springer.com/article/10.1007/JHEP09(2019)106 |
| work_keys_str_mv | AT dimitrioskatsinis stabilityanalysisofclassicalstringsolutionsandthedressingmethod AT ioannismitsoulas stabilityanalysisofclassicalstringsolutionsandthedressingmethod AT georgiospastras stabilityanalysisofclassicalstringsolutionsandthedressingmethod |