Dimer model: Full asymptotic expansion of the partition function
| dc.contributor.author | Bleher, Pavel | |
| dc.contributor.author | Elwood, Brad | |
| dc.contributor.author | Petrović, Dražen | |
| dc.contributor.department | Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2019-04-25T19:10:22Z | |
| dc.date.available | 2019-04-25T19:10:22Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | We give a complete rigorous proof of the full asymptotic expansion of the partition function of the dimer model on a square lattice on a torus for general weights zh, zv of the dimer model and arbitrary dimensions of the lattice m, n. We assume m is even and we show that the asymptotic expansion depends on the parity of n. We review and extend the results of Ivashkevich et al. [J. Phys. A: Math. Gen. 35, 5543 (2002)] on the full asymptotic expansion of the partition function of the dimer model, and we give a rigorous estimate of the error term in the asymptotic expansion of the partition function. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Bleher, P., Elwood, B., & Petrović, D. (2018). Dimer Model: Full Asymptotic Expansion of the Partition Function. Journal of Mathematical Physics, 59(9), 091407. https://doi.org/10.1063/1.5035271 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/18960 | |
| dc.language.iso | en | en_US |
| dc.publisher | AIP | en_US |
| dc.relation.isversionof | 10.1063/1.5035271 | en_US |
| dc.relation.journal | Journal of Mathematical Physics | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | ArXiv | en_US |
| dc.subject | dimer model | en_US |
| dc.subject | partition function | en_US |
| dc.subject | asymptotic expansion | en_US |
| dc.title | Dimer model: Full asymptotic expansion of the partition function | en_US |
| dc.type | Article | en_US |