Studies of Model Systems in Statistical Mechanics and Quantum Field Theory

9703543 McCoy这笔资助给一位杰出的高级数学物理学家，用于支持统计力学的研究。他对精确解的贡献是众所周知的。在双管齐下的进攻中，他计划研究给定问题的可积性条件，同时寻找对不可积性问题的见解。特别是，他正在研究可积自旋XXZ链的时间相关函数的性质，二维共形模型的能谱，即在分数统计、组合理论和q系列和罗杰斯-拉马努金恒等式的数学研究中重要的特征。在非可积系统中，该项目包括研究非零磁场和ZN对称自旋链中的Ising模型。这笔资助给一位杰出的高级数学物理学家，用于支持统计力学方面的研究。更具体地说，这位PI因其对几个完全可解决的问题的贡献而闻名。他将继续寻找精确的解。他还将继续寻求对什么使问题完全可解（也称为可积）的理解。最后，他计划考虑如何将从精确解中获得的见解应用于不知道精确解或不可能精确解的情况。＊＊＊

9703543 McCoy This grant to a senior, distinguished mathematical physicist is to support research in statistical mechanics. His contributions to exact solutions are widely known. In a two pronged attack, he is planning to study the integrability conditions of a given problem and also look for insights into non-integrable problems. In particular, he is examining the properties of time dependent correlation functions of integrable spin XXZ chains, of the energy spectra of conformal models in 2-d, i.e. the features which are important in the study of fractional statistics, theory of combinatorics and the mathematical study of q-series and the Rogers-Ramanujan identities. In non-integrable systems, the project includes a study of the Ising model in a nonzero magnetic field and ZN symmetric spin chains. %%% This grant to a senior, distinguished mathematical physicist is to support research in statistical mechanics. More specifically, this PI is well known for his contributions to several exactly solvable problems. He will continue his search for exact solutions. He will also continue to look for some understanding of what makes a problem exactly solvable (also called integrable). Finally he is planning to consider ways of applying the insights gained from exact solutions to cases where exact solutions are either not known and perhaps are not possible. ***