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

Author(s)

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

Affiliation

^[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

• Document type: Journal article
• Source: Journal of High Energy Physics; n. 4 APR 12 2021.
• Web of Science Citations: 2

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) 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)

• FAPESP's process: 19/21281-4 - Gauge / gravity duality
• Grantee: Horatiu Stefan Nastase
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
• Grantee: Nathan Jacob Berkovits
• Support Opportunities: Special Projects