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Equations of state in generalized hydrodynamics
by Dinh-Long Vu, Takato Yoshimura
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Submission summary
| Authors (as registered SciPost users): | Dinh-Long VU · Takato Yoshimura |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/1809.03197v3 (pdf) |
| Date accepted: | 2019-02-07 |
| Date submitted: | 2019-01-11 01:00 |
| Submitted by: | VU, Dinh-Long |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We, for the first time, report a first-principle proof of the equations of state used in the hydrodynamic theory for integrable systems, termed generalized hydrodynamics (GHD). The proof makes full use of the graph theoretic approach to Thermodynamic Bethe ansatz (TBA) that was proposed recently. This approach is purely combinatorial and relies only on common structures shared among Bethe solvable models, suggesting universal applicability of the method. To illustrate the idea of the proof, we focus on relativistic integrable quantum field theories with diagonal scatterings and without bound states such as strings.
List of changes
- TBA in abstract specified
- remark on the originality of the proof added in introduction and in section 2
- The role of elementary form factor explained
- T2 model presented in more detail
- Similarity with classical hard rod gases explained
Published as SciPost Phys. 6, 023 (2019)