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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Nastase, Horatiu [1] ; Sonnenschein, Jacob [2]
Total Authors: 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
Total Affiliations: 2
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