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Non-commutative multisolitons: Moduli spaces, quantization, finite 9 effects and stability

  • Stony Brook University
  • Masaryk University
  • Jagiellonian University in Kraków

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

We find the N-soliton solution at infinite θ, as well as the metric on the moduli space corresponding to spatial displacements of the solitons. We use a perturbative expansion to incorporate the leading θ-1 corrections, and find an effective short range attraction between solitons. We study the stability of various solutions. We discuss the finite θ corrections to scattering, and find metastable orbits. Upon quantization of the two-soliton moduli space, for any finite θ, we find an s-wave bound state.

Original languageEnglish
Pages (from-to)XXL-19
JournalJournal of High Energy Physics
Volume5
Issue number6
StatePublished - 2001

Keywords

  • Non-commutative geometry
  • Solitons monopoles and instantons

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