Investigations in Lattice Field Theory

研究工作将有三个主要主题与晶格规范理论（LGT）相关。激发态和外来强子的现象学与费米实验室、杰斐逊实验室、康奈尔实验室和斯坦福大学的中高能实验工作直接相关。例如，杰斐逊实验室提出的Glue-X实验旨在在不久的将来寻找“外来”强子。激发态粒子和外来粒子之间的差异需要理论理解，这只有LGT才能提供。2007年，欧洲核子研究中心（CERN）的大型强子对撞机（Large Hadron Collider）将投入使用，届时可能会给我们提供有关标准模型（SM）中最难以捉摸的方面——希格斯粒子的信息。要解开这些实验对超越SM的物理学的影响，需要对理论有一个非摄动的理解。pi打算通过使用LGT对希格斯-顶胶子模型进行详细的了解来探索这一点。当正则化截止点被推到高能量时，这个模型捕捉到了SM的基本耦合，并将帮助我们看到SM在哪里崩溃，预示着新的物理学。我们小组的第三个主要研究是关于夸克约束的性质。有许多LGT证据表明约束与规范场的拓扑激发有关，如瞬子、涡旋和单极子。这一提议代表了太平洋大学一个新的晶格规范理论（LGT）小组的成立。这将为本科生在一个强调计算物理的可访问领域带来研究的可能性。

The research effort will have three main themes connected with Lattice Gauge Theory (LGT). The phenomenology of excited and exotic hadrons is work directly relevant to experimental efforts at medium/high energy at Fermilab, Jefferson Lab, Cornell, and Stanford. For example, the Glue-X experiment proposed at Jefferson Lab is aimed at looking for "exotic" hadrons in the near future. The differences between excited and exotic particles requires theoretical understanding which only LGT can provide. In 2007, CERN's Large Hadron Collider will come online and presumably give us information about the most elusive aspect of the Standard Model (SM), the Higgs sector. Unraveling the implications of these experiments for physics beyond the SM requires a non-perturbative understanding of the theory. The PIs intend to explore this by developing a detailed understanding of a Higgs-Top-Gluon model using LGT. This model captures the essential couplings of the SM as the regularization cutoff is pushed to high energy and will help us see where the SM breaks down, heralding new physics. The third major inquiry by our group is into the nature of quark confinement. There is much LGT evidence showing confinement to be related to topological excitations of the gauge field, such as instantons, vortices, and monopoles. This proposal represents the inauguration of a new lattice gauge theory (LGT) group at the University of the Pacific. This will bring research possibilities to undergraduates in an accessible field that stresses computational physics.