Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions
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) TT¯ deformations of certain canonical scalar field theories with a potential....
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/207606 |
| Acceso en línea: | http://dx.doi.org/10.1007/JHEP04(2021)106 http://hdl.handle.net/11449/207606 |
| Access Level: | acceso abierto |
| Palabra clave: | Field Theories in Lower Dimensions Solitons Monopoles and Instantons |
| Sumario: | 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) TT¯ 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 TT¯ 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 TT¯ deformed actions admit shockwave solutions that generalize those of Heisenberg’s Lagrangian. |
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