In massless QED, we find that the classical U(1) chiral symmetry is not completely broken by the Adler-Bell-Jackiw anomaly. Rather, it is resurrected as a generalized global symmetry labeled by the rational numbers. Intuitively, this new global symmetry in QED is a composition of the naive axial rotation and a fractional quantum Hall state. The conserved symmetry operators do not obey a group multiplication law, but a non-invertible fusion algebra. We further generalize our construction to QCD, and show that the neutral pion decay can be derived from a matching condition of the non-invertible global symmetry.
Building: | West Hall |
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Event Type: | Lecture / Discussion |
Tags: | High Energy Theory Seminar, Physics |
Source: | Happening @ Michigan from Leinweber Center for Theoretical Physics, Department of Physics, HET Seminars, Leinweber Center for Theoretical Physics Seminars, Leinweber Center for Theoretical Physics High Energy Theory Seminars |