Theoretical Physics

拟议的研究涉及几个项目。首先是研究非零温度和化学势下的QCD。这将通过数值和分析方法的结合来完成。我们的方法将用于测试三色QCD中使用的随机矩阵模型。如果测试成功，那么随机矩阵模型将用于中子星和RHIC实验相关领域的QCD研究。该提案还讨论了如何以一种允许低质量介子和小夸克质量的方式重新制定QCD。方法是增加无关算子四费米项，使手性极限非奇异。我们建议通过QED3的模拟来研究高t超导体的波动环图。我们还建议研究为量子计算机开发算法的可能性，这将允许更好地模拟量子场论。

The proposed research involves several projects. The first is to study QCD at nonzero temperature and chemical potential. This will be done by a combination of numerical and analytical approaches. Our methods will be used to test the Random Matrix Model used in three-color QCD. If the tests succeed, then the Random Matrix Model will be used to study QCD in the arena relevant to both neutron stars as well as in RHIC experiments. The proposal also addresses how to reformulate QCD in a way that will allow low mass pions and small quark masses. The approach will be to add irrelevant operator four fermi terms to make the chiral limit nonsingular. We propose to study the fluctuating loop picture of high-T superconductors by simulations of QED3. We propose also to investigate the possibility of developing algorithms for a quantum computer that will allow a better simulation of a quantum field theory.