论文标题
U（1）量规范的随机形式主义在轴心通货膨胀中
Stochastic formalism for U(1) gauge fields in axion inflation
论文作者
论文摘要
我们开发了$ \ mathrm {u}（1）$ gauge字段的随机形式主义，该字段在通货膨胀期间与Chern-Simons耦合到滚动的伪阵列场。得出了物理电磁场的Langevin方程，并研究了分析溶液。使用数值模拟，我们证明了在哈勃尺度上平均的电磁场连续改变其方向，并且它们的振幅在分析获得的期望值周围波动。尽管通过拾取特定的本地哈勃贴片来自发折断各向同性，但每个哈勃斑块都是独立理解的，并且通过平均所有哈勃斑块在全球范围内保存了各向同性。
We develop the stochastic formalism for $\mathrm{U}(1)$ 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.
