Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions
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Data
2021-04-01
Autores
Nastase, Horatiu [UNESP]
Sonnenschein, Jacob
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Resumo
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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Field Theories in Lower Dimensions, Solitons Monopoles and Instantons
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Journal of High Energy Physics, v. 2021, n. 4, 2021.