Japan Long Term Visit: Study of Exactly Solvable Models in Statistical Mechanics

该奖项将支持教授的长期访问 雅克·H·H Perk和Helen Au-Yang，物理系， 俄克拉荷马州州立大学前往日本进行一次 与Michio Jimbo教授、Tetsuji教授的联合研究项目 位于研究所的Miwa和Mikio Sato 位于京都的数学科学部（RIMS） 日本的大学。 他们的研究将涉及持续的 研究了星星- 三角形（杨巴克斯特）方程的手征波茨模型。 他们还将继续研究自旋-自旋相关性 函数的Z不变非齐次伊辛模型在一个 不规则晶格 结果可以提供相关性 某些准晶和某些准周期的函数 伊辛格。 这项研究在统计学上具有重要意义。 力学，在低维量子场论和 完全可积系统 高等植物属的研究进展 解决方案可以带来许多其他解决方案之间的相互作用。 数学和物理的研究领域。 RIMS是 PI进行研究的理想机构。 日本的研究人员有最大的集体 知识和专业知识的可积系统的任何 世界上的机构。 Perk教授和Au-Yang教授 他是美国在可解模型方面为数不多的最优秀的研究人员之一。 两国的研究人员都很有名 并在他们的领域受到尊重。 预计，继 该奖项的到期，合作之间的 研究人员可能会继续。

This award will support a long-term visit by Professors Jacques H.H. Perk and Helen Au-Yang, Department of Physics, Oklahoma State University to travel to Japan to undertake a joint research project with Professors Michio Jimbo, Tetsuji Miwa and Mikio Sato who are located at the Research Institute for Mathematical Sciences (RIMS) which is located at Kyoto University in Japan. Their research will involve continuous studies of the new higher-genus solutions of the star- triangle (Yang-Baxter) equation in the chiral Potts model. They will also continue research on the spin-spin correlation functions of the Z-invariant inhomogeneous Ising model on an irregular lattice. The results may provide correlation functions of certain quasicrystals and of some quasiperiodic Ising lattices. This research is of fundamental importance in statistical mechanics, in low-dimensional quantum field theory and completely integrable systems. Progress on the higher-genus solutions may bring forth interaction between many other research areas in mathematics and physics. RIMS is the ideal Institute for the PI's to carry out their research. The Japanese researchers have the greatest collective knowledge and expertise of integrable systems of any institution in the world. Professors Perk and Au-Yang are among the few best researchers in solvable models in the U.S. The researchers from both countries are all very well known and respected in their field. It is expected that, following the expiration of this award, collaborations between the researchers are likely to continue.