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

TL;DR

This paper presents a lattice simulation framework for (2+1)D phonetic solitons using Clifford algebra and Wilson's lattice action, aiming to detect topological anomalies in materials.

Contribution

It introduces a novel lattice simulation approach combining Clifford algebra and Wilson's action for phonetic solitons in (2+1)D materials.

Findings

Identification of loop and surface components in lattice action

Application of Migdal-Kadanoff and fixed point methods for simulations

Discussion on detecting topological anomalies in nondestructive testing

Abstract

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.