Derivation of the Fermi function in perturbative quantum field theory

被引：1

作者：

Matsuzaki, Akihiro ^{[1
]}

Tanaka, Hidekazu ^{[2
]}

机构：

[1] Shibaura Inst Technol, Ctr Educ Assistance, Minuma Ku, Saitama 3378570, Japan

[2] Rikkyo Univ, Dept Phys, Toshima Ku, Tokyo 171, Japan

来源：

PHYSICAL REVIEW C | 2012年 / 86卷 / 06期

关键词：

RADIATIVE-CORRECTIONS; BETA-DECAY;

D O I：

10.1103/PhysRevC.86.065502

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We postulate that the Fermi function should be derived from the amplitude, not from the solution of the Dirac equation, in quantum field theory. Then, we obtain the following results:(1) We give the amplitude and width of the neutron beta decay, n -> p + e(-) + (nu) over bar (e), to the first order in alpha. We evaluate it using Feynman parameters.(2) As the result, we confirm the terms, which can be interpreted as the Fermi function expanded to order alpha.(3) We give the same result using the contour integral.(4) We check that there are no such terms in a similar process, (nu) over bar (e) + p -> e(+) + n. (5) We perform the Fermi function expanded to the second order in alpha using contour integral. (6) The conventional Fermi function affects the convergence of perturbation theory. DOI: 10.1103/PhysRevC.86.065502

引用

页数：9