标题： 高斯定律和量子色动力学中的规范不变算符与态 显示英文标题

标题： Gauss's law and gauge-invariant operators and states in QCD

摘要： 在本工作中，我们证明了一个之前发表的猜想，即我们给出的用于构建实现高斯定律的态的方案是正确的。 我们还构建了一个幺正变换，扩展了这一方案，使其能够产生同时实现带有夸克和胶子的QCD的高斯定律的额外态。 此外，我们利用本工作过程中开发的数学工具，构建了规范不变的旋量（夸克）和规范（胶子）场算符。 我们将这一SU(3)构造适应于SU(2)杨-米尔斯情况，并考虑这些发展的动力学影响。 显示英文摘要

摘要： In this work, we prove a previously published conjecture that a prescription we gave for constructing states that implement Gauss's law for `pure glue' QCD is correct. We also construct a unitary transformation that extends this prescription so that it produces additional states that implement Gauss's law for QCD with quarks as well as gluons. Furthermore, we use the mathematical apparatus developed in the course of this work to construct gauge-invariant spinor (quark) and gauge (gluon) field operators. We adapt this SU(3) construction for the SU(2) Yang-Mills case, and we consider the dynamical implications of these developments.