Lattice Field Theory and Hadronic Physics

夸克携带有色电荷，核物质是由胶子介导的有色夸克的结合形成的。量子色动力学(QCD)是描述这些色电荷相互作用的理论。实验表明，夸克有三种颜色，但所有的核物质都是中性的。将核物质分离成夸克和胶子需要非常大的能量，类似于早期宇宙中存在的能量。由于求解具有三种颜色的QCD已被证明是非常困难的，并且由于定性属性不取决于颜色的数量，因此尝试遵循t Hooft来求解非常大量的颜色的QCD。我们已经证明了夸克形成了一种无色凝聚体，我们还成功地计算了最轻的无色粒子--pion的性质。作为这一提议的一部分，我们将尝试计算其他较重的无色粒子的质量。我们还将尝试研究温度的影响，从而证明核物质是由夸克和胶子的原始汤汤形成的。科学方法包括分析计算和数值计算。FIU的一名研究生和几名本科生将做出重大贡献。国家实验室的大型计算机集群将用于数值计算，作为这项建议的一部分获得的结果将在核物理和粒子物理的国际会议上公布。

Quarks carry a color charge and nuclear matter is formed from thebinding of colored quarks mediated by gluons. Quantum Chromo-Dynamics(QCD) is the theory that describes the interaction of these colorcharges. Experiments have shown than quarks come in three colors butall nuclear matter is color neutral. Separation of nuclear matter intoquarks and gluons needs very large energies similar to what waspresent in the early universe. Since solving QCD with three colorshave proven to be very difficult and since qualitative properties donot depend on the number of colors, an attempt following 't Hooft ismade to solve QCD for a very large number of colors. We have alreadyshown that quarks form a colorless condensate and we have alsosucceeded in computing the properties of the lightest colorlessparticle - the pion. We will attempt to compute the masses of otherheavier colorless particles as part of this proposal. We will alsoattempt to study the effect of temperature thereby showing evidencefor the formation of nuclear matter from a primordial soup of quarksand gluons.The scientific methods involve analytical calculations and numericalcomputations. A graduate student and several undergraduate students atFIU will make significant contributions. Large scale computer clustersat national labs will be used for numerical computations and theresults obtained as part of this proposal will be presented atinternational conferences in nuclear and particle physics.