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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
Recorded sources
7 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that quantum integrable models possess an infinite number of conserved charges and factorized scattering?

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

Verdict: SUPPORTED · 7 sources for, 0 against · Last checked

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.

Evidence for · 7
Drude Weight for the Lieb-Liniger Bose Gas
2017
Refers to general linear combinations of the conserved charges in integrable quantum models.
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Doyon, B. & Spohn, H. (2017). Drude Weight for the Lieb-Liniger Bose Gas. doi.org. https://doi.org/10.21468/SciPostPhys.3.6.039

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More for · 6
Integrable Quantum Circuits from the Star-Triangle Relation
2023
Shows how infinite families of local conserved charges can be derived for integrable quantum circuits.
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Miao, Y. & Vernier, E. (2023). Integrable Quantum Circuits from the Star-Triangle Relation. doi.org. https://doi.org/10.22331/q-2023-11-03-1160

Generalized microcanonical and Gibbs ensembles in classical and quantum integrable dynamics
2015
Defines quantum integrability through the existence of a maximal number of independent conserved charges.
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Yuzbashyan, E. (2015). Generalized microcanonical and Gibbs ensembles in classical and quantum integrable dynamics. doi.org. https://doi.org/10.1016/j.aop.2016.02.002

Quasi-integrable KdV models, towers of infinite number of anomalous charges and soliton collisions
2020
Examines anomalous charges and soliton collisions in KdV models related to integrability.
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Blas, H., Ochoa, R., & Suarez, D. (2020). Quasi-integrable KdV models, towers of infinite number of anomalous charges and soliton collisions. doi.org. https://doi.org/10.1007/jhep03(2020)136

Constraining integrable AdS/CFT with factorized scattering
2019
Notes that integrability in string backgrounds implies that the worldsheet S-matrix should factorize.
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Wulff, L. (2019). Constraining integrable AdS/CFT with factorized scattering. doi.org. https://doi.org/10.1007/jhep04(2019)133

Quench dynamics in two-dimensional integrable SUSY models
2015
Analyzes quantum field theories with an infinite number of conservation laws in integrable models.
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Cubero, A. C., Mussardo, G., & Panfil, M. (2015). Quench dynamics in two-dimensional integrable SUSY models. doi.org. https://doi.org/10.1088/1742-5468/2016/03/033115

Ladder operator for the one-dimensional Hubbard model.
2001
States that the one-dimensional Hubbard model is integrable because it possesses an infinite family of conserved currents.
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J, L., HQ, Z., RH, M., & MD, G. (2001). Ladder operator for the one-dimensional Hubbard model.. doi.org. https://doi.org/10.1103/physrevlett.86.5096

What does the evidence say?

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.

Receipt History
first checked04 Aug 2026
judged → SUPPORTED · 8804 Aug 2026
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