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Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Does confinement imply CP invariance of the strong interactions?
G. Schierholz,* Y. Nakamura
*corresponding author
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Pre-published on: 2020 January 14
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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 $\theta \neq 0$ 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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