Quantum chromodynamics in a finite box

我们研究了有限区间哈密顿量形式下的量子色动力学（QCD），着重于它的非微扰特性，手征对称性的动力学破缺和UA（1）通过一系列幺正变换实现了规范固定，得到了轴向规范表象中的哈密顿量.有限区间使我们能够研究零点的特殊作用规范场的模式。它们的作用首先在1+1维的量子电动力学和QCD的情况下阐明，然后类似的考虑导致了对3+1维QCD中禁闭的可能理解。在一个方向上的有限区间原来对应于Eucledean路径积分形式中的有限温度的情况，并且基于这种类比正在进行研究。UA（1）异常的研究与正则化的轴向矢量流。规范不变性是fo 关于我们 而不足以给出正确的反常，进一步的要求正在研究中.格点QCD中的猝灭近似正被一个简单的自旋系统与谐振子耦合的模型所研究.在此基础上，建立了强子谱和高能反应的唯象模型，将核子描述为基于Nambu-Jona-Lasinio模型的相对论Faddeev方程的束缚态解，并计算了核子的静态性质.结果表明，该模型给出了真实的核子图像。本文还利用核子的相对论夸克模型研究了高能准弹性过程中内部动力学对初态和/或末态相互作用的影响，并考察了色透明的概念。少

We have studied the quantum chromodynamics (QCD) in the hamiltonian formulation with a finite interval focussing on its non-perturbative features such as confinement, dynamical breakdown of chiral symmetry and UA (1) anomaly.The gauge fixing is carried out by a series of unitary transformations and the hamiltonian in the axial gauge representation is obtained.The finite interval has enabled us to investigate the special role playd by the zero modes of the gauge field. Their role is first clarified in the cases of the quantum electrodynamics and the QCD in 1+1 dimension and then similar considerations lead to the possible understanding of the confinement in the QCD in 3+1 dimension.The finite interval in one direction turns out to correspond to the case of finite temperature in the Eucledean path integral formalism and a study based on this analogy is being carried out.UA (1) anomaly is studied in connection with the regularization of the axial vector current. The gauge invariance is fo … More und not to be sufficient for giving correct anomaly and the further requirements are being examined.The quenched approximation in the lattice QCD is being studied by a simple model consisting of spin systems coupled to harmonic oscillators. A similarity to an adiabatic approximation is suggested and further analytic and numerical analyzes are planned to confirm the similarity.Based on the obtained insights on the QCD,phenomenological models are constructed and applied to hadron spectroscopy and high energy reactions.The nucleon is described as a bound state solution of a relativistic Faddeev equation based on the Nambu-Jona-Lasinio model and its static properties are calculated. The results indicate that the model gives a realistic picture of the nucleion. A relativistic quark model of the nucleon is also used to study the effects of the internal dynamics on the initial and/or final state interactions in high energy quasi-elastic processes and the idea of color transparency is examined. Less