Abstract
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) $$ T\overline{T} $$
T
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 $$ T\overline{T} $$
T
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 $$ T\overline{T} $$
T
T
¯
deformed actions admit shockwave solutions that generalize those of Heisenberg’s Lagrangian.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference19 articles.
1. W. Heisenberg, Mesonenerzeugung als Stosswellenproblem, Z. Phys. 133 (1952) 65 [INSPIRE].
2. M. Froissart, Asymptotic behavior and subtractions in the Mandelstam representation, Phys. Rev. 123 (1961) 1053 [INSPIRE].
3. L. Lukaszuk and A. Martin, Absolute upper bounds for pi pi scattering, Nuovo Cim. A 52 (1967) 122 [INSPIRE].
4. H. Nastase and J. Sonnenschein, More on Heisenberg’s model for high energy nucleon-nucleon scattering, Phys. Rev. D 92 (2015) 105028 [arXiv:1504.01328] [INSPIRE].
5. A.B. Zamolodchikov, Expectation value of composite field T anti-T in two-dimensional quantum field theory, hep-th/0401146 [INSPIRE].
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献