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The boundary disorder correlation for the Ising model on a cylinder
by Rafael Leon Greenblatt
Submission summary
| Authors (as registered SciPost users): | Rafael Leon Greenblatt |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2407.03100v2 (pdf) |
| Date submitted: | 2024-07-09 10:11 |
| Submitted by: | Greenblatt, Rafael Leon |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
I give an expression for the correlation function of disorder insertions on the edges of the critical Ising model on a cylinder as a function of the aspect ratio (rescaled in the case of anisotropic couplings). This is obtained from an expression for the finite size scaling term in the free energy on a cylinder in periodic and antiperiodic boundary conditions in terms of Jacobi theta functions.
Current status:
Reports on this Submission
Strengths
1- The results are interesting and, to the best of my knowledge, new.
2- The results provide a nice addition to the existing literature on finite size scaling for the Ising model.
Weaknesses
1- The presentation of the results can be improved.
Report
I believe the paper can be accepted after a suitable revision (see the attached file).
Requested changes
See the attached file.
Recommendation
Ask for minor revision