Finite size scaling in minimal walking technicolor

TL;DR

This paper investigates the finite size scaling behavior in SU(2) lattice gauge theory with two adjoint fermions, estimating the anomalous mass dimension and comparing it with perturbative and previous non-perturbative results.

Contribution

The study provides a finite size scaling analysis that estimates the anomalous mass dimension in minimal walking technicolor, aligning with four-loop perturbation theory and previous non-perturbative findings.

Findings

Estimated anomalous mass dimension: γ = 0.51 ± 0.16

Results consistent with four-loop perturbation theory

Comparison with previous Schrödinger functional study shows slight discrepancy

Abstract

We compare observables to the finite size scaling hypothesis in SU(2) lattice gauge theory with two Dirac fermions in the adjoint representation. The fits that we obtain yield an estimate of the anomalous mass dimension that is consistent with four loop perturbation theory: $\gamma = 0.51 \pm 0.16$, with the error due to systematic uncertainties in the finite size scaling analysis. The result is somewhat larger than one Schr\"odinger functional study (by 1.3$\sigma$) but consistent with another.