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- W3152773016 abstract "A bstract 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) $$ Toverline{T} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>T</mml:mi> <mml:mover> <mml:mi>T</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> 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 $$ Toverline{T} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>T</mml:mi> <mml:mover> <mml:mi>T</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> 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 $$ Toverline{T} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>T</mml:mi> <mml:mover> <mml:mi>T</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> deformed actions admit shockwave solutions that generalize those of Heisenberg’s Lagrangian." @default.
- W3152773016 created "2021-04-26" @default.
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- W3152773016 date "2021-04-01" @default.
- W3152773016 modified "2023-10-17" @default.
- W3152773016 title "Soliton, breather and shockwave solutions of the Heisenberg and the $$ Toverline{T} $$ deformations of scalar field theories in 1+1 dimensions" @default.
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- W3152773016 doi "https://doi.org/10.1007/jhep04(2021)106" @default.
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