Stochastic formalism for U(1) gauge fields in axion inflation

被引：6
|
作者：
Fujita, Tomohiro [1 ,2 ]
Mukaida, Kyohei [3 ,4 ]
Tada, Yuichiro [3 ,5 ,6 ]
机构：
[1] Waseda Inst Adv Study, Shinjuku Ku, Tokyo 1698050, Japan
[2] Univ Tokyo, Res Ctr Early Universe, Bunkyo Ku, Tokyo 1130033, Japan
[3] KEK, IPNS, Theory Ctr, 1-1 Oho, Tsukuba, Ibaraki 3050801, Japan
[4] Grad Univ Adv Studies Sokendai, Tsukuba, Ibaraki 3050801, Japan
[5] Nagoya Univ, Inst Adv Res, Nagoya, Aichi 4648601, Japan
[6] Nagoya Univ, Dept Phys, Nagoya, Aichi 4648602, Japan
来源：
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS | 2022年 / 12期
基金：
日本学术振兴会;
关键词：
inflation; physics of the early universe; axions; primordial magnetic fields;
D O I：
10.1088/1475-7516/2022/12/026
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We develop the stochastic formalism for U(1) gauge fields that has the Chern-Simons coupling to a rolling pseudo-scalar field during inflation. The Langevin equations for the physical electromagnetic fields are derived and the analytic solutions are studied. Using numerical simulation we demonstrate that the electromagnetic fields averaged over the Hubble scale continuously change their direction and their amplitudes fluctuate around the analytically obtained expectation values. Though the isotropy is spontaneously broken by picking up a particular local Hubble patch, each Hubble patch is understood independent and the isotropy is conserved globally by averaging all the Hubble patches.
引用
收藏
页数：17
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