The Space of Integrable Systems from Generalised $T\bar{T}$-Deformations
| Autor: | Doyon, Benjamin, Durnin, Joseph, Yoshimura, Takato |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | SciPost Phys. 13, 072 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.21468/SciPostPhys.13.3.072 |
| Popis: | We introduce an extension of the generalised $T\bar{T}$-deformation described by Smirnov-Zamolodchikov, to include the complete set of extensive charges. We show that this gives deformations of S-matrices beyond CDD factors, generating arbitrary functional dependence on momenta. We further derive from basic principles of statistical mechanics the flow equations for the free energy and all free energy fluxes. From this follows, without invoking the microscopic Bethe ansatz or other methods from integrability, that the thermodynamics of the deformed models are described by the integral equations of the thermodynamic Bethe-Ansatz, and that the exact average currents take the form expected from generalised hydrodynamics, both in the classical and quantum realms. Comment: v1:6+10 pages. v2: 23 pages, references added. v3: 23 pages, minor corrections. v4: minor clarifications. v5: 29 pages, rearrangement of sections and appendices made, clarifications on quasi-local charges and the properties of the S-matrix of deformed theories added |
| Databáze: | arXiv |
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