2013/10/15 by Akihiro Matsuzaki, Matsuzaki, Akihiro, Hidekazu Tanaka +1
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.48550/arxiv.1310.4082
14 pages, 5 figures
openalex publication_date 2013/10/15 · arxiv created 2014/07/24 · arxiv updated 2014/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Fermi function is historically derived from the Dirac equation or the Schrödinger equation. However, we claim that the Fermi function should be derived from quantum field theory. Then, we obtain the following results: (1) We give the electromagnetic correction of the beta decay to the fourth order in α/v, where v is the electron velocity. (2) Our result is consistent with the ordinary non-relativistic Fermi function. (3) We give the iterated integral representation of the Fermi function for arbitrary order in α/v. (4) This representation is related to the multiple L values, and they enable us to calculate the amplitude in the algebraic approach.