Symmetries, their breaking and anomalies in the self-consistent renormalization. Discrete symmetry shadow in chiral anomalies (Q2711754)

Symmetries of quantum field theories often manifest themselves via certain formal relations between ultraviolet-divergent Feynman amplitudes ( FA) known as canonical Ward identities (CWI). Anomalies occur as breakdown of the CWI at the level of finite values of FA's. The author describes a variety of models, in which the nature of anomalies is clarified by the method of self-consistent renormalization, an effective realization of the Bogolyubov-Parasiuk \(R\)-operation.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].