Dynamic structure factors in two dimensional $Z_2$ lattice gauge theory

We numerically calculate the dynamic structure factor of the simplest two dimensional Z_2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi>Z</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> lattice gauge theory for a finite sized system. 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.