The Banks-Zaks fixed point is an IR-stable CFT describing long-distance behavior of QCD for certain parameters. The Lagrangian of QCD is \[ \mathcal L= \bar\psi_a (i \gamma\partial - m ) \psi_a - \frac 1 4 F^2 \] where color and spacetime indices have been surpressed. The flavor index $a$ runs over

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