The boundary disorder correlation for the Ising model on a cylinder
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 o...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2025-02-01
|
| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.8.1.017 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823860527529459712 |
|---|---|
| author | Rafael Leon Greenblatt |
| author_facet | Rafael Leon Greenblatt |
| author_sort | Rafael Leon Greenblatt |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c3157644f2564201a605f327ffe20d68 |
| institution | Kabale University |
| issn | 2666-9366 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj-art-c3157644f2564201a605f327ffe20d682025-02-10T12:50:39ZengSciPostSciPost Physics Core2666-93662025-02-018101710.21468/SciPostPhysCore.8.1.017The boundary disorder correlation for the Ising model on a cylinderRafael Leon GreenblattI 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.https://scipost.org/SciPostPhysCore.8.1.017 |
| spellingShingle | Rafael Leon Greenblatt The boundary disorder correlation for the Ising model on a cylinder SciPost Physics Core |
| title | The boundary disorder correlation for the Ising model on a cylinder |
| title_full | The boundary disorder correlation for the Ising model on a cylinder |
| title_fullStr | The boundary disorder correlation for the Ising model on a cylinder |
| title_full_unstemmed | The boundary disorder correlation for the Ising model on a cylinder |
| title_short | The boundary disorder correlation for the Ising model on a cylinder |
| title_sort | boundary disorder correlation for the ising model on a cylinder |
| url | https://scipost.org/SciPostPhysCore.8.1.017 |
| work_keys_str_mv | AT rafaelleongreenblatt theboundarydisordercorrelationfortheisingmodelonacylinder AT rafaelleongreenblatt boundarydisordercorrelationfortheisingmodelonacylinder |