论文标题
海森伯格的索利顿，呼吸和冲击解决方案以及标量场理论的$ t \ bar t $变形1+1维度
Soliton, breather and shockwave solutions of the Heisenberg and the $T\bar T$ deformations of scalar field theories in 1+1 dimensions
论文作者
论文摘要
在本说明中，我们研究了某些二维领域理论中的孤子，呼吸和冲击波解决方案。其中包括：（i）海森伯格的模型最初建议描述高能核子的散射（ii）$ t \ bar t $ t $具有潜力的某些规范标量场理论的变形。我们发现具有正弦和希格斯型电势的这些模型的显式孤子解决方案。我们证明，给定电位理论的$ t \ bar t $变形并不能纠正未构造的孤子的质量。我们进一步猜测了这些模型的呼吸溶液的形式。我们表明，某些$ t \ bar t $变形的动作承认了冲击解决方案，这些解决方案将海森伯格的拉格朗日主义者推广。
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) $T\bar T$ 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 $T\bar T$ 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 $T\bar T$ deformed actions admit shockwave solutions that generalize those of Heisenberg's Lagrangian.
