The Quantum Yang-Baxter Conditions: The Fundamental Relations behind the Nambu-Goldstone Theorem

被引：16

作者：

Arraut, Ivan ^{[1
,2
]}

机构：

[1] Open Univ Hong Kong, 30 Good Shepherd St, Hong Kong, Peoples R China

[2] Tokyo Univ Sci, Dept Phys, Fac Sci, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, Japan

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 06期

基金：

日本学术振兴会;

关键词：

spontaneous symmetry breaking; Nambu-Goldstone theorem; dispersion relations; Quantum Yang-Baxter Equations; degenerate vacuum; 11; 30; Qc; 10; -z; 03; 70; +k; SPONTANEOUS SYMMETRY-BREAKING; GAUGE-INVARIANCE; DYNAMICAL MODEL; PARTICLES; ANALOGY;

D O I：

10.3390/sym11060803

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：20

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