Topology of Minimal Walking Technicolor

TL;DR

This paper investigates the topological properties of Minimal Walking Technicolor using lattice simulations, providing evidence for its conformal behavior and analyzing instanton effects and finite size impacts.

Contribution

It offers the first lattice study of topological susceptibility and instanton size distribution in Minimal Walking Technicolor, highlighting their decoupling from fermion dynamics.

Findings

Topological observables are decoupled from fermion dynamics in the conformal regime.

Instanton size distribution can signal finite size effects.

Evidence supports the infrared conformality of the theory.

Abstract

We perform a lattice study of the topological susceptibility and instanton size distribution of the $\su{2}$ gauge theory with two adjoint Dirac fermions (also known as Minimal Walking Technicolor), which is known to be in the conformal window. In the theory deformed with a small mass term, by drawing a comparison with the pure gauge theory, we find that topological observables are decoupled from the fermion dynamics. This provides further evidence for the infrared conformality of the theory. A study of the instanton size distribution shows that this quantity can be used to detect the onset of finite size effects.