标题： 以磁量子数为基础的格点规范场理论的数字化：减小基本对易关系的破坏 显示英文标题

标题： Digitizing lattice gauge theories in the magnetic basis: reducing the breaking of the fundamental commutation relations

摘要： 我们提出了一种用于 $\mathrm{SU}(2)$ 规范理论哈密顿量的数字格式化方案，适用于 $\mathit{magnetic}$ $\mathit{basis}$ ，其中规范链接是幺正且对角的。 这种数字格式化来源于对 $\mathrm{SU}(2)$ 群流形的一种特定划分，其正则动量通过在此划分上的李导数近似构造。 这种构建方式类似于离散傅里叶变换，在截断希尔伯特空间的一个子空间上精确保留了哈密顿量动能部分的谱和正则对易关系，而剩余子空间可以投影到理论的截止值之上。 显示英文摘要

摘要： We present a digitization scheme for the lattice $\mathrm{SU}(2)$ gauge theory Hamiltonian in the $\mathit{magnetic}$ $\mathit{basis}$, where the gauge links are unitary and diagonal. The digitization is obtained from a particular partitioning of the $\mathrm{SU}(2)$ group manifold, with the canonical momenta constructed by an approximation of the Lie derivatives on this partitioning. This construction, analogous to a discrete Fourier transform, preserves the spectrum of the kinetic part of the Hamiltonian and the canonical commutation relations exactly on a subspace of the truncated Hilbert space, while the residual subspace can be projected above the cutoff of the theory.