High precision calculation in quantum field theory

下一个十年对于我们理解基本粒子和力的基本结构将是至关重要的。高能对撞机、大型强子对撞机和国际直线对撞机的出现，将进入一个全新的能量领域，并可能主要揭示新的物理现象，如额外的空间维度或超对称性。另一方面，布鲁克海文国家实验室的Muon反常磁矩测量或TRIUMF的Muon衰变光谱等低能实验的精度不断提高，也使它们成为超出基本粒子标准模型的灵敏“新物理”探测器。在大多数情况下，新物理学表现出与基于标准模型的理论预测的微小偏差。因此，高精度的预测成为强制性的。这个项目的主要目标是在一大类量子场论问题上进行高精度计算，这些问题对当前和未来的实验具有重要的唯象意义。这个问题的困难需要发展新的理论和计算工具，这些工具与量子场论的基本概念密切相关。更深入地理解和发展这些概念是该项目的目标之一。

The next decade will be crucial for our understanding of the fundamental structure of elementary particles and forces. The advent of high-energy colliders, the Large Hadron Collider and the International Linear Collider, will give access to a completely new energy domain and may uncover principally new physical phenomena such as the extra space dimensions or supersymmetry. On the other hand, the increasing accuracy of the low-energy experiments such as measurement of the muon anomalous magnetic moment in Brookhaven National Laboratory or the muon decay spectrum in TRIUMF also makes them sensitive probes of "new physics" beyond the standard model of elementary particles. In most cases the new physics shows up at a tiny deviation from the theoretical predictions based on the standard model. Thus high precision of the predictions becomes mandatory. The main goal of this project is the high precision calculation in a wide class of the quantum field theory problems which are of primary phenomenological importance for current and future experiments. The difficulty of the problem requires developing new theoretical and computational tools which are closely related to the fundamental concepts of the quantum field theory. Deeper understanding and development of these concepts are among the goals of the project.