The dressing method as non linear superposition in sigma models
Abstract We apply the dressing method on the Non Linear Sigma Model (NLSM), which describes the propagation of strings on ℝ × S2, for an arbitrary seed. We obtain a formal solution of the corresponding auxiliary system, which is expressed in terms of the solutions of the NLSM that have the same Pohl...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-03-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2021)024 |
| _version_ | 1818437510852771840 |
|---|---|
| author | Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras |
| author_facet | Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras |
| author_sort | Dimitrios Katsinis |
| collection | DOAJ |
| description | Abstract We apply the dressing method on the Non Linear Sigma Model (NLSM), which describes the propagation of strings on ℝ × S2, for an arbitrary seed. We obtain a formal solution of the corresponding auxiliary system, which is expressed in terms of the solutions of the NLSM that have the same Pohlmeyer counterpart as the seed. Accordingly, we show that the dressing method can be applied without solving any differential equations. In this context a superposition principle emerges: the dressed solution is expressed as a non-linear superposition of the seed with solutions of the NLSM with the same Pohlmeyer counterpart as the seed. |
| first_indexed | 2024-12-14T17:25:50Z |
| format | Article |
| id | doaj.art-4f2cbdd6d7894eb6bda7a3a6c98ee2a6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T17:25:50Z |
| publishDate | 2021-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4f2cbdd6d7894eb6bda7a3a6c98ee2a62022-12-21T22:53:13ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021312610.1007/JHEP03(2021)024The dressing method as non linear superposition in sigma modelsDimitrios Katsinis0Ioannis Mitsoulas1Georgios Pastras2Department of Physics, National and Kapodistrian University of AthensPhysics Division, National Technical University of AthensNCSR “Demokritos”, Institute of Nuclear and Particle PhysicsAbstract We apply the dressing method on the Non Linear Sigma Model (NLSM), which describes the propagation of strings on ℝ × S2, for an arbitrary seed. We obtain a formal solution of the corresponding auxiliary system, which is expressed in terms of the solutions of the NLSM that have the same Pohlmeyer counterpart as the seed. Accordingly, we show that the dressing method can be applied without solving any differential equations. In this context a superposition principle emerges: the dressed solution is expressed as a non-linear superposition of the seed with solutions of the NLSM with the same Pohlmeyer counterpart as the seed.https://doi.org/10.1007/JHEP03(2021)024Bosonic StringsIntegrable Field TheoriesLong strings |
| spellingShingle | Dimitrios Katsinis Ioannis Mitsoulas Georgios Pastras The dressing method as non linear superposition in sigma models Journal of High Energy Physics Bosonic Strings Integrable Field Theories Long strings |
| title | The dressing method as non linear superposition in sigma models |
| title_full | The dressing method as non linear superposition in sigma models |
| title_fullStr | The dressing method as non linear superposition in sigma models |
| title_full_unstemmed | The dressing method as non linear superposition in sigma models |
| title_short | The dressing method as non linear superposition in sigma models |
| title_sort | dressing method as non linear superposition in sigma models |
| topic | Bosonic Strings Integrable Field Theories Long strings |
| url | https://doi.org/10.1007/JHEP03(2021)024 |
| work_keys_str_mv | AT dimitrioskatsinis thedressingmethodasnonlinearsuperpositioninsigmamodels AT ioannismitsoulas thedressingmethodasnonlinearsuperpositioninsigmamodels AT georgiospastras thedressingmethodasnonlinearsuperpositioninsigmamodels AT dimitrioskatsinis dressingmethodasnonlinearsuperpositioninsigmamodels AT ioannismitsoulas dressingmethodasnonlinearsuperpositioninsigmamodels AT georgiospastras dressingmethodasnonlinearsuperpositioninsigmamodels |