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THE SU(2) GLOBAL ANOMALY THROUGH LEVEL CIRCLING

THE SU(2) GLOBAL ANOMALY THROUGH LEVEL CIRCLING

We discuss a novel manifestation of the SU(2) global anomaly in an SU(2) gauge theorywith an odd number of chiral quark doublets and arbitrary Yukawa couplings. We arguethat the massive four-dimensional Euclidean Dirac operator is non-Hermitian with itsspectrum of eigenvalues (λ, −λ) lying in pairs in the complex plane. Consequently …