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--- advanced_notions:quantum_field_theory:wess-zumino-witten_term [2018/04/13 15:32]
ellahughes [Why is it interesting?]
+++ advanced_notions:quantum_field_theory:wess-zumino-witten_term [2018/04/13 15:33]
ellahughes [Why is it interesting?]
@@ Line 49: / Line 49: @@
 <blockquote>Witten [8, 9] showed that the Wess-Zumino (W-Z) term [8, 9, 10] in the action for the
 scalar fields $\phi_a$ (whose solitons are [[advanced_notions:skyrmions|Skyrmions]]) actually determines how these solitons are to be
-quantized.
+quantized.  He obtained the remarkable result that the Skyrmion is a fermion if N, is odd, and a
+boson if N, is even: furthermore, the W-Z term also determines the pattern of spin-SU(3) multiplets $([1/2^+,8],[3/2^+,10],\ldots) in the baryon spectrum [9, 11, 12]. Though obviously correct mathematically,
+these results were nevertheless still hard to explain in physical terms, especially to anyone who did not
+know what a W -Z term was- and even to those who did")
  <cite>Berry Phases, Magnetic Monopoles and {Wess-Zumino} Terms or How the Skyrmion Got Its Spin by I.J.R. Aitchison</cite></blockquote>