The U(1) BF functional measure and the Dirac distribution on the space of quantum fields
arXiv:2306.04259
Abstract
In this letter, we explain how the U(1) BF measure can be related to the Fourier transform of a Dirac distribution defined on the -module of quantum fields. Then, we revisit the U(1) BF partition function with the help of this Dirac distribution and finally shed light on a natural relation between the U(1) BF and Chern-Simons theories.