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arXiv 1604.01015hep-thastro-ph.CO
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暴胀时期随机力-朗之万演化的红外发散分离

Infrared Divergence Separated for Stochastic Force - Langevin Evolution in the Inflationary Era

Masahiro Morikawa

摘要:

早期宇宙的膨胀是一个巨大的相变,它产生了我们现在观察到的所有结构的种子。我们专注于这个相变的非平衡态方面,特别是不可避免的红外(IR)发散相关的量子和经典领域在通货膨胀。有一个长期的研究历史,以消除健康的扰动计算的红外发散。另一方面,同样的红外发散是非常相关的,并在早期宇宙中发展了原始密度波动。我们发展了一个统一的形式主义,其中红外发散是明确分离的微观量子场论,但只出现在统计经典结构。利用德西特真空在暴胀过程中的不稳定性,在量子场论中导出了经典的朗之万方程。这种分离过程一般与发展宏观结构和推导量子场论中统计力学的基本性质有关。

英文摘要:

Inflation in the early Universe is a grand phase transition which have produced the seeds of all the structures we now observe. We focus on the non-equilibrium aspect of this phase transition especially the inevitable infrared (IR) divergence associated to the the quantum and classical fields during the inflation. There is a long history of research for removing this IR divergence for healthy perturbation calculations. On the other hand, the same IR divergence is quite relevant and have developed the primordial density fluctuations in the early Universe. We develop a unified formalism in which the IR divergence is clearly separated from the microscopic quantum field theory but only appear in the statistical classical structure. We derive the classical Langevin equation for the order parameter within the quantum field theory through the instability of the de Sitter vacuum during the inflation. This separation process is relevant in general to develop macroscopic structures and to derive the basic properties of statistical mechanics in the quantum field theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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