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Generalized hydrodynamics regime from the thermodynamic bootstrap program

by Axel Cortés Cubero, Miłosz Panfil

This Submission thread is now published as SciPost Phys. 8, 004 (2020)

Submission summary

As Contributors: Milosz Panfil
Arxiv Link: (pdf)
Date accepted: 2019-12-20
Date submitted: 2019-11-28 01:00
Submitted by: Panfil, Milosz
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical


Within the generalized hydrodynamics (GHD) formalism for quantum integrable models, it is possible to compute simple expressions for a number of correlation functions at the Eulerian scale. Specializing to integrable relativistic field theories, we show the same correlators can be computed as a sum over form factors, the GHD regime corresponding to the leading contribution with one particle-hole pair on a finite energy-density background. The thermodynamic bootstrap program (TBP) formalism was recently introduced as an axiomatic approach to computing such finite-energy-density form factors for integrable field theories. We derive a new axiom within the TBP formalism from which we easily recover the predicted GHD Eulerian correlators. We also compute higher form factor contributions, with more particle-hole pairs, within the TBP, allowing for the computation of correlation functions in the diffusive, and beyond, GHD regimes. The two particle-hole form factors agree with expressions recently conjectured within the~GHD.

Ontology / Topics

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Bootstrap program Generalized hydrodynamics (GHD)

Published as SciPost Phys. 8, 004 (2020)

Author comments upon resubmission

Dear Editor,

Please find our resubmission of the manuscript to the SciPost Physics.
We have addressed all the points raised by the referees and added a discussion on the in-cell averaging.

Kind regards,
the authors

List of changes

The main changes are:

1) we have improved notation in the introduction, as requested by the referee 1 and 3;
2) we have provided computations showing that higher particle form factors do not contribute to the correlator at the Eulerian scale (section 6);
3) we have clarified the terminology (dressed form factors, section 3) and added a discussion how the newly derived formula fits within the bootstrap program (end of section 4);
4) we have clarified the notation in the analysis of non-analyticities of form-factors in section 5;
5) we have added a comment that similarity between finite temperature and finite size form-factors was previously observed for Ising field theory (end of section 4);
6) finally, we have included the in-cell averaging procedure in the derivation of the Eulerian scale correlators in section 6. This procedure is needed to fully recover the Eulerian-scale predictions of the GHD. This step of the derivation was missing in the first submission.

Reports on this Submission

Anonymous Report 2 on 2019-12-9 (Invited Report)


All appropriate changes have been and I think the paper can be published now.

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Anonymous Report 1 on 2019-12-4 (Invited Report)


I thank the authors for answering my points, and recommend the paper in its current version for publication.

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