Advanced Topics in Quantum Field Theory: A Lecture Course

By M. Shifman. 2012

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Comments on abelian Higgs models and persistent order (2017, methodology): “we nd as we vary the parameters is a SU(2) 1 WZW model [34]. For N>2 it is believed that charge conjugation is always spontaneously broken [21,35]. This is certainly the case for suciently large N[36]. Therefore, the vacuum is two-fold degenerate and the discrete u 3 anomaly is saturated by the s”
An introduction to spontaneous symmetry breaking (2019, background): “y the third homotopy group ˇ 3(G=H). For example in systems with spontaneously broken SU(N) symmetry this homotopy group can be non-trivial, and instantons play an important role. The book by Shifman [84] is a good reference for this topic. 6.5Topological defects at work Topological defects play a r”