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--- advanced_notions:quantum_field_theory:wess-zumino-witten_term [2018/04/13 15:37]
ellahughes [Intuitive]
+++ advanced_notions:quantum_field_theory:wess-zumino-witten_term [2018/04/13 15:58] (current)
ellahughes [Intuitive]
@@ Line 19: / Line 19: @@
 representing correctly just the $SU(3)_f$ flavour anomalies of the underlying Fermion theory.
+[...]
+our concern here has been to place the 'monopole' form (5 .15) of $L_{W-Z}$ in the context of an adiabatic
+decoupling problem. From this point of view, the peculiar phase behaviour leading to 'fermion-ness'
+in the $\phi$, sector has arisen as a result of non-trivial structure left behind when the fermion vacuum is
+decoupled adiabatically from the $\phi$'s. If we use only the $\phi$ d.f. 's, and integrate the fermions away, we
+must include a W-Z term which embodies this structure. The ultimate reason that this structure has a
+'monopole' form is to be found in the topological approach to anomalies [27, 28].
  <cite>Berry Phases, Magnetic Monopoles and {Wess-Zumino} Terms or How the Skyrmion Got Its Spin by I.J.R. Aitchison</cite></blockquote>