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

Ivan Arraut

doi:10.3390/sym11060803

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arXiv · 1611.05035

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

Ivan Arraut

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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.

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Ivan Arraut. 2016-11-15. The Quantum Yang Baxter conditions: The fundamental relations behind the Nambu-Goldstone theorem. https://doi.org/10.3390/sym11060803

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