Axions and the strong CP problem

Current upper bounds on the neutron electric dipole moment constrain the physically observable quantum chromodynamic (QCD) vacuum angle vertical bar(theta) over bar vertical bar less than or similar to 10(-11). Since QCD explains a great deal of experimental data from the 100 MeV to the TeV scale, it is desirable to explain this smallness of vertical bar(theta) over bar vertical bar in the QCD framework; this is the strong CP problem. There now exist two plausible solutions to this problem, one of which leads to the existence of a very light axion. The axion decay constant window, 10(9) less than or similar to F-a less than or similar to 10(12) GeV for an O(1) initial misalignment angle theta(1), has been obtained from astrophysical and cosmological data. For F-a greater than or similar to 10(12) GeV with theta(1) < O(1), axions may constitute a significant fraction of the dark matter of the universe. The supersymmetrized axion solution of the strong CP problem introduces its superpartner the axino, which might have affected the evolution of the Universe significantly. The very light axion (theory, supersymmetrization, and models) using recent particle, astrophysical, and cosmological data, and present prospects for its discovery is reviewed here.