Soliton, breather and shockwave solutions of the Heisenberg and the T T ¯ $$ T\overline{T} $$ deformations of scalar field theories in 1+1 dimensions
Abstract In this note we study soliton, breather and shockwave solutions in certain two dimensional field theories. These include: (i) Heisenberg’s model suggested originally to describe the scattering of high energy nucleons (ii) T T ¯ $$ T\overline{T} $$ deformations of certain canonical scalar fi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2021)106 |
| _version_ | 1818598215606337536 |
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| author | Horatiu Nastase Jacob Sonnenschein |
| author_facet | Horatiu Nastase Jacob Sonnenschein |
| author_sort | Horatiu Nastase |
| collection | DOAJ |
| description | Abstract In this note we study soliton, breather and shockwave solutions in certain two dimensional field theories. These include: (i) Heisenberg’s model suggested originally to describe the scattering of high energy nucleons (ii) T T ¯ $$ T\overline{T} $$ deformations of certain canonical scalar field theories with a potential. We find explicit soliton solutions of these models with sine-Gordon and Higgs-type potentials. We prove that the T T ¯ $$ T\overline{T} $$ deformation of a theory of a given potential does not correct the mass of the soliton of the undeformed one. We further conjecture the form of breather solutions of these models. We show that certain T T ¯ $$ T\overline{T} $$ deformed actions admit shockwave solutions that generalize those of Heisenberg’s Lagrangian. |
| first_indexed | 2024-12-16T12:00:10Z |
| format | Article |
| id | doaj.art-a81d1cd611a746b89790545f27f0303e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T12:00:10Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a81d1cd611a746b89790545f27f0303e2022-12-21T22:32:28ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021412410.1007/JHEP04(2021)106Soliton, breather and shockwave solutions of the Heisenberg and the T T ¯ $$ T\overline{T} $$ deformations of scalar field theories in 1+1 dimensionsHoratiu Nastase0Jacob Sonnenschein1Instituto de Física Teórica, UNESP-Universidade Estadual PaulistaSchool of Physics and Astronomy, The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv UniversityAbstract In this note we study soliton, breather and shockwave solutions in certain two dimensional field theories. These include: (i) Heisenberg’s model suggested originally to describe the scattering of high energy nucleons (ii) T T ¯ $$ T\overline{T} $$ deformations of certain canonical scalar field theories with a potential. We find explicit soliton solutions of these models with sine-Gordon and Higgs-type potentials. We prove that the T T ¯ $$ T\overline{T} $$ deformation of a theory of a given potential does not correct the mass of the soliton of the undeformed one. We further conjecture the form of breather solutions of these models. We show that certain T T ¯ $$ T\overline{T} $$ deformed actions admit shockwave solutions that generalize those of Heisenberg’s Lagrangian.https://doi.org/10.1007/JHEP04(2021)106Field Theories in Lower DimensionsSolitons Monopoles and Instantons |
| spellingShingle | Horatiu Nastase Jacob Sonnenschein Soliton, breather and shockwave solutions of the Heisenberg and the T T ¯ $$ T\overline{T} $$ deformations of scalar field theories in 1+1 dimensions Journal of High Energy Physics Field Theories in Lower Dimensions Solitons Monopoles and Instantons |
| title | Soliton, breather and shockwave solutions of the Heisenberg and the T T ¯ $$ T\overline{T} $$ deformations of scalar field theories in 1+1 dimensions |
| title_full | Soliton, breather and shockwave solutions of the Heisenberg and the T T ¯ $$ T\overline{T} $$ deformations of scalar field theories in 1+1 dimensions |
| title_fullStr | Soliton, breather and shockwave solutions of the Heisenberg and the T T ¯ $$ T\overline{T} $$ deformations of scalar field theories in 1+1 dimensions |
| title_full_unstemmed | Soliton, breather and shockwave solutions of the Heisenberg and the T T ¯ $$ T\overline{T} $$ deformations of scalar field theories in 1+1 dimensions |
| title_short | Soliton, breather and shockwave solutions of the Heisenberg and the T T ¯ $$ T\overline{T} $$ deformations of scalar field theories in 1+1 dimensions |
| title_sort | soliton breather and shockwave solutions of the heisenberg and the t t ¯ t overline t deformations of scalar field theories in 1 1 dimensions |
| topic | Field Theories in Lower Dimensions Solitons Monopoles and Instantons |
| url | https://doi.org/10.1007/JHEP04(2021)106 |
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