Mass Renormalization by Instantons and the Strong<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>Problem

Abstract

Renormalization of the current masses of light quarks by instantons is considered. It is shown that the entire low-energy current mass of the $u$ quark can be generated by this nonperturbative mass renormalization. In this case, the absence of $\mathrm{CP}$ nonconservation in the strong interactions is an automatic consequence.