The U(1) BF functional measure and the Dirac distribution on the space of quantum fields

In this article, we explain how the U(1) BF measure can be related to the Fourier transform of a Dirac distribution defined on the Z-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...

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Bibliographic Details
Published in:Journal of mathematical physics 2023-11, Vol.64 (11)
Main Author: Thuillier, F.
Format: Article
Language:English
Subjects:
Field theory (physics)
Fourier transforms
High Energy Physics - Theory
Mathematical Physics
Partitions (mathematics)
Physics
Quantum theory
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Summary:In this article, we explain how the U(1) BF measure can be related to the Fourier transform of a Dirac distribution defined on the Z-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.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0166948