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the claim
Quantum integrable models possess an infinite number of conserved charges and factorized scattering
the verdict
SUPPORTED
the evidence backs this
refutedsupported
the weight of evidence
7 sources for · 0 against

Quantum integrable models are characterized by the presence of an infinite number of conserved charges and exact factorization of scattering.

Evidence for · 7
Drude Weight for the Lieb-Liniger Bose Gas
2017 · cited by 147
Refers to general linear combinations of the conserved charges in integrable quantum models.
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The analysis

The retrieved literature across various domains of theoretical physics (such as statistical mechanics, Bethe ansatz, and string theory) consistently supports the premise that quantum integrable models feature infinite families of conserved charges and factorized scattering.

More for · 6
Integrable Quantum Circuits from the Star-Triangle Relation
2023 · cited by 20
Shows how infinite families of local conserved charges can be derived for integrable quantum circuits.
Generalized microcanonical and Gibbs ensembles in classical and quantum integrable dynamics
2015 · cited by 19
Defines quantum integrability through the existence of a maximal number of independent conserved charges.
Quasi-integrable KdV models, towers of infinite number of anomalous charges and soliton collisions
2020 · cited by 13
Examines anomalous charges and soliton collisions in KdV models related to integrability.
Constraining integrable AdS/CFT with factorized scattering
2019 · cited by 11
Notes that integrability in string backgrounds implies that the worldsheet S-matrix should factorize.
Quench dynamics in two-dimensional integrable SUSY models
2015 · cited by 10
Analyzes quantum field theories with an infinite number of conservation laws in integrable models.
Ladder operator for the one-dimensional Hubbard model.
2001 · cited by 3
States that the one-dimensional Hubbard model is integrable because it possesses an infinite family of conserved currents.
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first checked04 Aug 2026
judged → SUPPORTED · 8804 Aug 2026
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