High-Quality Axions in a Class of Chiral U(1) Gauge Theories.

We show that there are many candidates for the quintessence and/or the QCD axions in a class of chiral U(1) gauge theories. Their qualities are high enough to serve as the dark energy and/or to solve the strong CP problem. Interestingly, the high quality of axion is guaranteed by the gauged U(1) and Z_{2N} symmetries and hence free from the nonperturbative quantum gravity corrections. Furthermore, our mechanism can be easily applied to the Fuzzy dark matter axion scenarios.