Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions

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dc.contributor.authorNastase, Horatiu [UNESP]
dc.contributor.authorSonnenschein, Jacob
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionTel Aviv University
dc.date.accessioned2021-06-25T10:58:03Z
dc.date.available2021-06-25T10:58:03Z
dc.date.issued2021-04-01
dc.description.abstractIn 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.en
dc.description.affiliationInstituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II
dc.description.affiliationSchool of Physics and Astronomy The Raymond and Beverly Sackler Faculty of Exact Sciences Tel Aviv University
dc.description.affiliationUnespInstituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II
dc.identifierhttp://dx.doi.org/10.1007/JHEP04(2021)106
dc.identifier.citationJournal of High Energy Physics, v. 2021, n. 4, 2021.
dc.identifier.doi10.1007/JHEP04(2021)106
dc.identifier.issn1029-8479
dc.identifier.scopus2-s2.0-85104281352
dc.identifier.urihttp://hdl.handle.net/11449/207606
dc.language.isoeng
dc.relation.ispartofJournal of High Energy Physics
dc.sourceScopus
dc.subjectField Theories in Lower Dimensions
dc.subjectSolitons Monopoles and Instantons
dc.titleSoliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensionsen
dc.typeArtigo
unesp.author.orcid0000-0002-9383-6047[1]

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