Dynamic Structure Factors in Two Dimensional $Z_2$ Lattice Gauge Theory

TL;DR

This paper numerically computes the dynamic structure factor of a 2D $Z_2$ lattice gauge theory, providing a benchmark for future experimental studies and analyzing the excitation spectrum away from criticality.

Contribution

It offers the first numerical calculation of the dynamic structure factor for the 2D $Z_2$ lattice gauge theory, serving as a reference for experimental exploration.

Findings

Spectrum is gapped away from the critical point.

Spectrum can be understood via elementary excitations.

Provides benchmark data for future experiments.

Abstract

We numerically calculate the dynamic structure factor of the simplest two dimensional $Z_2$ lattice gauge theory. This provides an important benchmark for future experiments which will explore the dynamics of such models. As would be expected, the spectrum is gapped away from the critical point, and can be understood in terms of the elementary excitations.