The Quantum Yang-Baxter conditions: The fundamental relations behind the Nambu-Goldstone theorem

Ivan Arraut

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

We demonstrate that when there is spontaneous symmetry breaking in any system, relativistic or non-relativistic, the dynamic of the Nambu-Goldstone bosons is governed by the Quantum Yang-Baxter equations. These equations describe the triangular dynamical relations between pairs of Nambu-Goldstone bosons and the degenerate vacuum. We then formulate a theorem and a corollary showing that these relations guarantee the appropriate dispersion relation and the appropriate counting for the Nambu-Goldstone bosons.

Original languageEnglish
Article number803
JournalSymmetry
Volume11
Issue number6
DOIs
Publication statusPublished - 1 Jun 2019

Keywords

  • Degenerate vacuum
  • Dispersion relations
  • Nambu-Goldstone theorem
  • Quantum Yang-Baxter Equations
  • Spontaneous symmetry breaking

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