advanced_notions:quantum_field_theory:wess-zumino-witten_term

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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] |
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representing correctly just the $SU(3)_f$ flavour anomalies of the underlying Fermion theory. | 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> | <cite>Berry Phases, Magnetic Monopoles and {Wess-Zumino} Terms or How the Skyrmion Got Its Spin by I.J.R. Aitchison</cite></blockquote> |

advanced_notions/quantum_field_theory/wess-zumino-witten_term.txt · Last modified: 2018/04/13 15:58 by ellahughes

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