标题： 几乎规范不变态和杨-米尔斯理论的基态 显示英文标题

标题： Almost gauge-invariant states and the ground state of Yang-Mills theory

摘要： 我们考虑在哈密顿表述中纯格点规范理论的规范不变子空间的显式描述问题，其中规范群要么是紧致李群，要么是有限群。后一种情况对于量子模拟特别有趣。展示了一种状态基，其中根据其整体性对配置进行分组，相较于其他描述具有若干优势。利用这个基，我们在小格点上计算了一些非阿贝尔有限群的一些感兴趣性质，并特别检查了很久以前引入的某种假设是否是基态的良好近似。 显示英文摘要

摘要： We consider the problem of the explicit description of the gauge-invariant subspace of pure lattice gauge theories in the Hamiltonian formulation, where the gauge group is either a compact Lie group or a finite group. The latter case is particularly interesting for quantum simulation. A basis of states where configurations are grouped according to their holonomies is shown to have several advantages over other descriptions. Using this basis, we compute some properties of interest for some non- Abelian finite groups on small lattices, and in particular we examine the question of whether a certain ansatz introduced long ago is a good approximation for the ground state.