论文标题
随机边界的通货膨胀
Inflation with Stochastic Boundary
论文作者
论文摘要
我们研究了通货膨胀场空间中边界的场的布朗运动。场和边界都经历了布朗尼运动，其噪声的幅度由相应的DS时空的哈勃膨胀速率确定。这种设置模仿了通货膨胀模型，其中曲率扰动是从通货膨胀末端产生的不均匀性引起的。详细研究了以漂移为主制度以及以扩散为主的制度的案例。我们计算了第一个击球概率以及该场击中野外空间中任何一个边界的E折的平均数量。回顾了对通货膨胀模型的影响。
We study the Brownian motion of a field where there are boundaries in the inflationary field space. Both the field and the boundary undergo Brownian motions with the amplitudes of the noises determined by the Hubble expansion rate of the corresponding dS spacetime. This setup mimics models of inflation in which curvature perturbation is induced from inhomogeneities generated at the surface of end of inflation. The cases of the drift dominated regime as well as the diffusion dominated regime are studied in details. We calculate the first hitting probabilities as well as the mean number of e-folds for the field to hit either of the boundaries in the field space. The implications for models of inflation are reviewed.
