Pith. sign in

REVIEW 1 cited by

Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1803.02637 v6 pith:UYXHBNKD submitted 2018-03-07 cond-mat.stat-mech cond-mat.str-elhep-thmath-phmath.MPquant-ph

Naoto Shiraishi This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.str-elhep-thmath-phmath.MPquant-ph
keywords conservedlocalquantityabsencechainfieldmagneticconcrete
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We rigorously prove that the spin-1/2 XYZ chain with a magnetic field has no local conserved quantity. Any nontrivial conserved quantity of this model is shown to be a sum of operators supported by contiguous sites with at least half of the entire system. We establish that the absence of local conserved quantity in concrete models is provable in a rigorous form.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Simple Necessary and Sufficient Condition for Yang--Baxter Integrability

    cond-mat.stat-mech 2026-07 conditional novelty 8.0 of 10

    The Reshetikhin condition on a nearest-neighbour spin-chain Hamiltonian is sufficient (and necessary) for the existence of a regular difference-form Yang–Baxter R-matrix, resolving a 1980s conjecture.

Pith tools