We study the infrared properties of SU(3) gauge theory coupled to 12
massless Dirac fermions in the fundamental representation.
There are some controversial works for the infrared behavior in this theory.
We measure the renormalized running coupling constant in the Twisted
Polyakov loop scheme on the lattice. From the step-scaling analysis,
we find that the infrared behavior of the theory is governed by a
non-trivial fixed point.
And we derive some critical exponents around the nontrivial fixed point.