Finite size scaling of conformal theories in the presence of a near-marginal operator

Abstract

The slowly evolving gauge coupling of gauge-fermion systems near the conformal window makes numerical investigations of these models challenging. We consider finite size scaling and show that this often used technique leads to inconsistent results if the leading order scaling corrections are neglected. When the corrections are included the results become consistent not only between different operators but even when data obtained at different gauge couplings or with different lattice actions are combined. Our results indicate that the SU(3) 12-fermion system is conformal with mass anomalous dimension ${\gamma }_m=0.235(15)$.

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• Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions
• Comments on lattice gauge theories with infrared-attractive fixed points
• Improving the continuum limit of gradient flow step scaling
• Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours

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