Metric perturbations from quantum tunneling in open inflation.
Metric perturbations from quantum tunneling in open inflation.
复制标题
开放暴胀中量子隧道效应的度量扰动。
DOI：
10.1103/physrevd.54.2473
复制
发表时间：
1995
期刊：
影响因子：
--
通讯作者：
García
中科院分区：
文献类型：
--
作者：
García
我们研究了单泡开放暴胀宇宙成核过程中产生的量子涨落对微波背景温度各向异性振幅的影响。我们计算了开暴胀模型中虚真空和真真空之间的量子隧穿的瞬子作用量，并表明了空泡壁的量子涨落幅度对真真空的引力效应非常敏感。我们研究了泡壁的量子涨落谱，证实了只有一个非均匀（k^2 = -3$）的离散模与泡壁的横向无痕涨落有关.这种超曲率模式原则上可以扭曲微波背景的各向异性。我们计算的规范不变度规扰动的振幅引起的气泡壁波动的同动超曲面，并计算在微波背景中的温度波动的诱导振幅，对于任意值的$\Omega_0$。我们发现，在极限$\Omega_0\simeq 1$，四极主导的角功率谱，像在通常的Grishchuk-Zel'dovich效应。在所观察到的微波背景各向异性中没有这种效应的情况下，所得到的气泡壁的量子波动幅度的界限是相当强的。我们还研究了出现在开放的de Sitter真空涨落谱中的一个离散的长波长超曲率模（$k^2 \simeq 2m^2/3H^2$）的贡献。我们约束的开放式膨胀模型的参数，使这些模式不扭曲所观察到的温度各向异性。
We study the effect that quantum fluctuations produced during the nucleation of a single-bubble open inflationary universe have on the amplitude of temperature anisotropies in the microwave background. We compute the instanton action for the quantum tunneling between the false and true vacua in open inflation models and show that the amplitude of quantum fluctuations of the bubble wall is very sensitive to the gravitational effects of the true vacuum. We study the spectrum of quantum fluctuations of the bubble wall and confirm that there is only an inhomogeneous ($k^2 = -3$) discrete mode associated with transverse traceless fluctuations of the bubble wall. This super-curvature mode could in principle distort the anisotropy of the microwave background. We compute the amplitude of the gauge invariant metric perturbations induced by the bubble wall fluctuations on a comoving hypersurface, and calculate the induced amplitude of temperature fluctuations in the microwave background, for arbitrary values of $\Omega_0$. We find that in the limit $\Omega_0\simeq 1$, the quadrupole dominates the angular power spectrum, like in the usual Grishchuk-Zel'dovich effect. The resulting bounds on the amplitude of quantum fluctuations of the bubble wall from the absence of such an effect in the observed microwave background anisotropies are quite strong. We also study the contribution from a discrete long wavelength super-curvature mode ($k^2 \simeq 2m^2/3H^2$) that appears in the spectrum of open de Sitter vacuum fluctuations. We constrain the parameters of the models of open inflation so that these modes do not distort the observed temperature anisotropy.