Theoretical Physics

拟议的研究涉及几个项目。第一种是研究非零温度和化学势下的QCD。这将通过数值和分析相结合的方法来实现。我们的方法将被用于三色QCD中的随机矩阵模型的测试。如果测试成功，那么随机矩阵模型将被用于研究与两颗中子星相关的领域以及RHIC实验中的QCD。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表述QCD。方法是添加不相关的算符四个费米项，使手征极限非奇异。我们建议通过对QED3的模拟来研究高温超导体的涨落环图。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.