Proof of completeness of the local conserved quantities in the one-dimensional Hubbard model
Statistical Mechanics
2024-06-05 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We rigorously prove that the local conserved quantities in the one-dimensional Hubbard model are uniquely determined for each locality up to the freedom to add lower-order ones. From this, we can conclude that the local conserved quantities are exhausted by those obtained from the expansion of the transfer matrix.
Keywords
Cite
@article{arxiv.2309.09354,
title = {Proof of completeness of the local conserved quantities in the one-dimensional Hubbard model},
author = {Kohei Fukai},
journal= {arXiv preprint arXiv:2309.09354},
year = {2024}
}
Comments
Corrected typographical errors, included examples of the commutator in Equations (28)-(35), added Reference [10], and provided a brief explanation of the claims of the lemmas before presenting them