Generalized chiral instabilities, linking numbers, and non-invertible symmetries

Generalized chiral instabilities, linking numbers, and non-invertible symmetries

Blog Article

Abstract We demonstrate a universal mechanism of a class of instabilities in infrared regions for massless Abelian p-form gauge theories with topological interactions, which we call generalized chiral instabilities.Such instabilities occur in the Leather Tote Bag presence of initial electric fields for the p-form gauge fields.We show that the dynamically generated magnetic fields tend to decrease the initial electric fields and result in configurations with linking numbers, which can be characterized by non-invertible global symmetries.The so-called chiral plasma instability and instabilities of the axion electrodynamics and (4 + 1)-dimensional Maxwell-Chern-Simons theory in electric Lysine fields can be described by the generalized chiral instabilities in a unified manner.

We also illustrate this mechanism in the (2+1)-dimensional Goldstone-Maxwell model in electric field.