The strong coupling constant $1/g^2$ and the vacuum angle $theta$ of the SU(3) Yang-Mills theory are investigated in the infrared limit under the renormalization group flow. It is shown that the theory has an infrared attractive fixed point at $1/g^2 = theta = ,0$, which leads to linear confinement and naturally solves the strong CP problem. In particular, any initial value of $theta eq 0$ is found to be driven to $theta = 0$ at macroscopic distances, where quarks and gluons freeze into hadrons by the confinement mechanism.
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