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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: | https://arxiv.org/abs/1909.08393v3 (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 |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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
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)