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Conjectures about the structure of strong- and weak-coupling expansions of a few ground-state observables in the Lieb-Liniger and Yang-Gaudin models
by Guillaume Lang
This Submission thread is now published as SciPost Phys. 7, 055 (2019)
Submission summary
| As Contributors: | Guillaume Lang |
| Preprint link: | scipost_201908_00007v4 |
| Date accepted: | 2019-10-15 |
| Date submitted: | 2019-10-09 02:00 |
| Submitted by: | Lang, Guillaume |
| Submitted to: | SciPost Physics |
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
In this paper, we apply experimental number theory to two integrable quantum models in one dimension, the Lieb-Liniger Bose gas and the Yang-Gaudin Fermi gas with contact interactions. We identify patterns in weak- and strong-coupling series expansions of the ground-state energy, local correlation functions and pressure. Based on the most accurate data available in the literature, we make a few conjectures about their mathematical structure and extrapolate to higher orders.
Ontology / Topics
See full Ontology or Topics database.Published as SciPost Phys. 7, 055 (2019)
Submission & Refereeing History
Published as SciPost Phys. 7, 055 (2019)
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Reports on this Submission
Anonymous Report 3 on 2019-10-12 (Invited Report)
Report
The author has clarified various points. I think the article can be recommended for publication
Anonymous Report 2 on 2019-10-10 (Invited Report)
Strengths
The author try to relate number theory with dynamical systems
Weaknesses
Conjectures are not proven. Only two dynamical systems aRE CONSIDERED
Report
Afte resubmission the paper became a little better.
Anonymous Report 1 on 2019-10-10 (Invited Report)
Report
The reply by the author and the changes made to the paper address satisfactorily the points raised in my previous report. I think the paper is now suitable for publication in scipost.