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Revisiting the $U(1)$-$CP$ tension in QCD from a 1PI-action perspective
We discuss the tension one encounters in trying to solve, simultaneously, the $U(1)$ and strong-$CP$ problems in QCD with light quarks and a small $\barθ$ angle within QCD itself. We do so by considering the low-energy expansion of a $1$PI effective action $Γ$, a functional of a properly chosen set
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