Fermion bag solitons in the massive Gross-Neveu and massive Nambu-Jona-Lasinio models in 1+1 dimensions: Inverse scattering analysis

Joshua Feinberg, Shlomi Hillel

Research output: Contribution to journalArticlepeer-review

Abstract

Formation of fermion bag solitons is an important paradigm in the theory of the hadron structure. We report here on our non-perturbative analysis of this phenomenon in the (1+1)-dimensional massive Gross-Neveu model, in the large-N limit. Our main result is that the extremal static bag configurations are reflectionless, as in the massless Gross-Neveu model. Explicit formulae for the profiles and masses of these solitons are presented. We also present a particular type of self-consistent reflectionless solitons which arise in the massive Nambu-Jona-Lasinio models, in the large-N limit.

Original languageEnglish
Pages (from-to)6341-6348
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number21
DOIs
StatePublished - 26 May 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy

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