All Local Conserved Quantities of the One-Dimensional Hubbard Model
Statistical Mechanics
2024-02-07 v5 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present the exact expression for all local conserved quantities of the one-dimensional Hubbard model. We identify the operator basis constructing the local charges and find that nontrivial coefficients appear in the higher-order charges. We derive the recursion equation for these coefficients, and some of them are explicitly given. There are no other local charges independent of those we obtained.
Keywords
Cite
@article{arxiv.2301.03621,
title = {All Local Conserved Quantities of the One-Dimensional Hubbard Model},
author = {Kohei Fukai},
journal= {arXiv preprint arXiv:2301.03621},
year = {2024}
}
Comments
6 pages, 3 figures for main text + 43 pages, 4 figures for supplemental material, v5: corrected typos, changed the symbol "I" to a dotted circle, and added proof of positivity of coefficients in supplemental material