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Equations of state in generalized hydrodynamics

by Dinh-Long Vu, Takato Yoshimura

Submission summary

As Contributors: Dinh-Long VU · Takato Yoshimura
Arxiv Link: https://arxiv.org/abs/1809.03197v3
Date submitted: 2019-01-11
Submitted by: VU, Dinh-Long
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Statistical and Soft Matter Physics

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.

Current status:
Editor-in-charge assigned

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

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