English

The Yang-Baxter paradox

Exactly Solvable and Integrable Systems 2022-05-04 v2 Mathematical Physics math.MP

Abstract

Consider the statement "Every Yang-Baxter integrable system is defined to be exactly-solvable". To formalise this statement, definitions and axioms are introduced. Then, using a specific Yang-Baxter integrable bosonic system, it is shown that a paradox emerges. A generalisation for completely integrable bosonic systems is also developed.

Keywords

Cite

@article{arxiv.2105.02437,
  title  = {The Yang-Baxter paradox},
  author = {Jon Links},
  journal= {arXiv preprint arXiv:2105.02437},
  year   = {2022}
}

Comments

16 pages, revised version correcting typographical errors

R2 v1 2026-06-24T01:49:33.748Z