Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine s l 2 Gaudin model
Franzini, Tommaso and Young, Charles
(2023)
Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine s l 2 Gaudin model.
ISSN 1751-8113
In this work we will use a general procedure to construct higher local Hamiltonians for the affine sl2 Gaudin model. We focus on the first non-trivial example, the quartic Hamiltonians. We show by direct calculation that the quartic Hamiltonians commute amongst themselves and with the quadratic Hamiltonians which define the model. We go on to introduce a certain next-to-leading-order semi-classical limit of the model. In this limit, we are able to write down the full hierarchy of higher local Hamiltonians and prove that they commute.
Item Type | Article |
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Uncontrolled Keywords | Paper; Mathematical physics; integrable models; integrable systems; affine Gaudin models; Gaudin models; higher Hamiltonians; sl2 Gaudin model; higher Hamiltonians at leading order |
Subjects |
Physics and Astronomy(all) Physics and Astronomy(all) > Statistical and Nonlinear Physics Mathematics(all) > Statistics and Probability Mathematics(all) > Mathematical Physics Mathematics(all) > Modelling and Simulation |
Date Deposited | 27 Jul 2024 00:51 |
Last Modified | 27 Jul 2024 00:51 |
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