  In quantum systems with large $n$ (radial quantum number) or large angular
momentum the semiclassical (WKB) approximation is valid. A physical content of
the semiclassical approximation is that the quantum fluctuations effects are
suppressed and vanish asymptotically. The chiral as well as $U(1)_A$ breakings
in QCD is a result of quantum fluctuations. Hence these breakings must be
absent (suppressed) high in the spectrum and the spectrum of high-lying hadrons
must exhibit symmetries of the classical QCD Lagrangian.
