标题： 格点模拟$(2+1)D$语音孤子和重整化群 显示英文标题

标题： Lattice simulation of $(2+1)D$ phonetic solitons and the Renormalization group

摘要： $(2+1)D$孤子在Weyl旋量背景中的格点模拟的概要被提出。 Clifford代数被应用于Luescher的区域分解方法。 Clifford代数表明，在Wilson的格点作用量中存在环路部分和插值曲面部分。 我们采用Migdal-Kadanoff规则和Benfatto与Gallavotti在动量空间中的固定点作用量，并展示了一种在材料中模拟声学孤子的路线图。 讨论了在无损检测中拓扑异常（APS指标）的检测。 显示英文摘要

摘要： The outline of lattice simulations of $(2+1)D$ soliton-propagations in the background of Weyl spinors is presented. Clifford algebra is applied on Luescher's domain decomposition method. The Clifford algebra shows that there are loop parts and interpolating surface parts in the Wilson's lattice action. We adopt the Migdal-Kadanoff prescription and the fixed point action in momentum space of Benfatto and Gallavotti, and shows a road map for simulating phonetic solitons in materials. Detections of topological anomalies (APS index) in nondestructive testing are discussed.