用Lorentz和Feynman规范研究引力电磁暴胀的耦合暴胀子场和电磁场
Coupled inflaton and electromagnetic fields from Gravitoelectromagnetic Inflation with Lorentz and Feynman gauges
摘要:
利用引力电磁暴胀(GEMI)的半经典方法,研究了早期暴胀宇宙中电磁场和种子暴胀子的起源和演化。我们同时使用洛伦兹和费曼规。我们的形式在有效的四维de Sitter度规上自然不是共形不变的,这使得在宇宙尺度上宇宙早期暴胀时期的电场和磁场模的超绝热放大成为可能.这是第一次,电场波动的解决方案进行了系统的研究,在4D的暴胀模型的嵌入。本文得到的一个重要的新结果是:电场涨落的谱与尺度有关,谱指数随尺度的减小而二次增加。
英文摘要:
Using a semiclassical approach to Gravitoelectromagnetic Inflation (GEMI), we study the origin and evolution of seminal inflaton and electromagnetic fields in the early inflationary universe from a 5D vacuum state. We use simultaneously the Lorentz and Feynman gauges. Our formalism is naturally not conformal invariant on the effective 4D de Sitter metric, which make possible the super adiabatic amplification of electric and magnetic field modes during the early inflationary epoch of the universe on cosmological scales. This is the first time that solutions for the electric field fluctuations are investigated in a systematic way as embeddings for inflationary models in 4D. An important and new result here obtained is that the spectrum of the electric field fluctuations depend with the scale, such that the spectral index increases quadratically as the scale decreases.
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