论文标题
跨planckian量子噪声对原始引力波谱的影响
Impact of trans-Planckian quantum noise on the Primordial Gravitational Wave spectrum
论文作者
论文摘要
我们研究了由于反式 - planckian效应对通货膨胀期间重力波的原始功率谱而引起的随机量子噪声的影响。给定能量尺度的lambda,预计将接近Planck量表M_PL,并且大于Hubble量表h,则用Comoving Modes K的进化方程中的源项来描述该噪声,只要物理波长小于Lambda^-1,它就会从早期开始改变其早期幅度的增长。我们将源术语模拟是由于反式 - planckian政权和相应的霍金辐射中的黑洞气体引起的。实际上,对于大于或兰伯达阶的能量尺度,预计由于能量密度较大而可能会形成捕获的表面。在以后的时间,进化遵循标准的无源演化。我们发现,这种机制仍然导致张量扰动的尺度不变功率谱,幅度取决于比率lambda/m_pl的比例。
We investigate the impact of stochastic quantum noise due to trans--Planckian effects on the primordial power spectrum for gravity waves during inflation. Given an energy scale Lambda, expected to be close to the Planck scale m_Pl and larger than the Hubble scale H, this noise is described in terms of a source term in the evolution equation for comoving modes k which changes its amplitude growth from early times as long as the mode physical wavelength is smaller than Lambda^-1. We model the source term as due to a gas of black holes in the trans--Planckian regime and the corresponding Hawking radiation. In fact, for energy scales larger than, or of the order of Lambda, it is expected that trapped surfaces may form due to large energy densities. At later times the evolution then follows the standard sourceless evolution. We find that this mechanism still leads to a scale-invariant power spectrum of tensor perturbations, with an amplitude that depends upon the ratio Lambda/m_Pl.