The Banks-Zaks fixed point is an IR-stable CFT describing long-distance behavior of QCD for certain parameters. The Lagrangian of QCD is \[ \mathcal L= \bar\psi \psi - \frac 1 4 F^a_{\mu\nu} F^{\mu\nu,a} \]

Other theories can have Banks-Zaks fixed points, like SQCD.

Here are some lattice studies: https://arxiv.org/abs/0712.0609, https://arxiv.org/abs/0904.4662.

• Wikipedia
• https://arxiv.org/pdf/0905.4752.pdf