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

Autor(es)

Nastase, Horatiu ^[1] ; Sonnenschein, Jacob ^[2]

Afiliação do(s) autor(es)

^[1] UNESP Univ Estadual Paulista, Inst Fis Teor, R Dr Bento T Ferraz 271, Bl 2, BR-01140070 Sao Paulo, SP - Brazil

^[2] Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Phys & Astron, IL-69978 Ramat Aviv - Israel

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; n. 4 APR 12 2021.
• Citações Web of Science: 2

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<overbar></mml:mover> 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<mml:mo stretchy={''}true{''}><overbar></mml:mover> 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<mml:mover accent={''}true{''}>T<mml:mo stretchy={''}true{''}><overbar></mml:mover> deformed actions admit shockwave solutions that generalize those of Heisenberg's Lagrangian. (AU)

• Processo FAPESP: 19/21281-4 - Dualidade gravitação / Teoria de gauge
• Beneficiário: Horatiu Stefan Nastase
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais