论文标题
在一片宇宙学模型的慢速扩展中
On the slow roll expansion of one-field cosmological models
论文作者
论文摘要
我们使用汉密尔顿 - 雅各比形式主义研究了单场宇宙学模型的红外量表扩展，表明其在单位尺度参数上的专业化恢复了缓慢的滚动膨胀。特别是，我们表明，后者与汉密尔顿 - 雅各比（Hamilton-Jacobi）功能的劳伦（Lourent）膨胀在普朗克质量的力量中相吻合，普朗克质量的术语由某些递归定义的多项式控制。这使我们能够给出一个明确的递归程序，以构建缓慢滚动扩展的所有高阶项。我们还讨论了通用相似性组的相应有效潜力和作用。
We study the infrared scale expansion of single field cosmological models using the Hamilton-Jacobi formalism, showing that its specialization at unit scale parameter recovers the slow roll expansion. In particular, we show that the latter coincides with a Laurent expansion of the Hamilton-Jacobi function in powers of the Planck mass, whose terms are controlled by certain recursively-defined polynomials. This allows us to give an explicit recursion procedure for constructing all higher order terms of the slow roll expansion. We also discuss the corresponding effective potential and the action of the universal similarity group.
