The Quantum Yang Baxter conditions: The fundamental relations behind the Nambu-Goldstone theorem
High Energy Physics - Theory
2019-06-25 v5 Other Condensed Matter
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.
Keywords
Cite
@article{arxiv.1611.05035,
title = {The Quantum Yang Baxter conditions: The fundamental relations behind the Nambu-Goldstone theorem},
author = {Ivan Arraut},
journal= {arXiv preprint arXiv:1611.05035},
year = {2019}
}
Comments
Published version, 22 pages