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Generalized hydrodynamics regime from the thermodynamic bootstrap program

by Axel Cortés Cubero, Miłosz Panfil

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Submission summary

Authors (as registered SciPost users): Milosz Panfil
Submission information
Preprint Link:  (pdf)
Date accepted: 2019-12-20
Date submitted: 2019-11-28 01:00
Submitted by: Panfil, Milosz
Submitted to: SciPost Physics
Ontological classification
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.

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.

Published as SciPost Phys. 8, 004 (2020)

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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