Stochastic growth of quantum fluctuations during slow-roll inflation
Stochastic growth of quantum fluctuations during slow-roll inflation
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慢滚膨胀过程中量子涨落的随机增长
DOI：
10.1103/physrevd.82.064020
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
G. Venturi
中科院分区：
文献类型：
--
作者：
F. Finelli;G. Marozzi;A. Starobinsky;G. Vacca;G. Venturi
介绍了慢滚膨胀的标准场论方法。然后我们表明，为了计算与通用场相关的规范规范不变量子涨落的均方，必须使用比例因子的对数作为随机方法中福克-普朗克方程中的时间变量。然后，我们计算慢滚暴胀模型中具有小有效质量的不同测试场的增长，并将结果与与暴胀相关的规范不变正则涨落（Mukhanov 变量）的结果进行比较。我们发现，在大多数单场暴胀模型中，这种波动比任何具有非负有效质量的测试场增长得更快，混合模型除外。
The standard field-theoretical approach to the slow-roll inflation is introduced. We then show as, in order to calculate the mean square of the canonical gauge invariant quantum fluctuations associated to a generic field, the logarithm of the scale factor has to be used as the time variable in the Fokker-Planck equation in the stochastic approach. Then we compute the growth of different test fields with a small effective mass during slow-roll inflationary models, comparing the results with the one for the gauge invariant canonical fluctuation associated to the inflaton, the Mukhanov variable. We find that in most of the single fields inflationary models such fluctuation grows faster than any test field with a non-negative effective mass, with the exception of hybrid models.