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Chiral and U(1)_A restorations high in the hadron spectrum and the semiclassical approximation

L. Ya. Glozman
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Abstract

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.

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L. Ya. Glozman. 2003-04-09. Chiral and U(1)_A restorations high in the hadron spectrum and the semiclassical approximation. https://arxiv.org/abs/hep-ph/0304087

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