Investigations in Field and Particle Theory

拟议的研究涉及非对易物理学的各个方面，以及精确可解的粒子系统和场论和引力的非微扰方面。 非对易几何导致弦膜量子理论和流体动力学系统之间的对应。 这一对应关系的物理含义将在本研究项目中进行研究。 量子霍尔系统的可能性，可以描述一个非交换矩阵模型也将被调查。 自旋为1的可积系统将被研究，希望能找到反铁磁链连续极限。更广泛的意义是为叶史瓦大学的本科生重建一个研究环境。

The proposed research involves various aspects of noncommutative physics as well as exactly solvable particle systems and nonperturbative aspects of field theory and gravity. Noncommutative geometry leads to a correspondence between string-membrane quantum theory and fluid dynamical systems. The physical implications of this correspondence will be studied in this research project. The possibility that the quantum Hall system can be described by a non-commutative matrix model will also be investigated. Integrable systems with spin 1 will be investigated in the hope that the anti-ferromagnetic chain continuum limit can be found. The broader implications are the reestablishment of a research environment for undergraduates at Yeshiva University.