Stochastic effects in anisotropic inflation

Stochastic effects in anisotropic inflation
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DOI:
10.1103/physrevd.101.023524
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发表时间:
2019-09
期刊:
影响因子:
5
通讯作者:
Alireza Talebian;Amin Nassiri-Rad;H. Firouzjahi
Alireza Talebian;Amin Nassiri-Rad;H. Firouzjahi
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Alireza Talebian;Amin Nassiri-Rad;H. Firouzjahi

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我们重新研究了包含$U(1)$规范域的各向异性膨胀模型中的随机效应。得到了膨胀场摄动和规范场摄动的朗之万方程,并对其进行了解析求解。我们证明,如果电场的初始值大于其经典吸引子值,则与规范场相关的随机随机力被摩擦阻尼(经典)力平衡,电场落入平衡(平稳)状态。因此,电场的经典吸引子值被其稳态值所取代。我们证明了产生符合CMB约束的四极统计各向异性的概率是显著的。
We revisit the stochastic effects in the model of anisotropic inflation containing a $U(1)$ gauge field. We obtain the Langevin equations for the inflaton and gauge fields perturbations and solve them analytically. We show that if the initial value of the electric field is larger than its classical attractor value, then the random stochastic forces associated with the gauge field is balanced by the frictional damping (classical) force and the electric field falls into an equilibrium (stationary) regime. As a result, the classical attractor value of the electric field is replaced by its stationary value. We show that the probability of generating quadrupolar statistical anisotropy consistent with CMB constraints can be significant.