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arXiv 1208.2660hep-thgr-qc
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Chern-Simons暴胀的数值模拟

A Numerical Simulation of Chern-Simons Inflation

David Garrison, Christopher Underwood

摘要:

在这项工作中,我们提出了由亚历山大,Marciano和Spergel的Chern-Simons通货膨胀模型的数值模拟结果。根据这个模型,暴胀开始于费米子凝聚与规范场的相互作用。这一机制成功的关键是假设陈-西蒙斯相互作用将把能量从初始的随机频谱驱动到超视界尺度的窄带频率中。在这项工作中,我们在数字上证实了这一预期。这些规范场和电流,当与弗里德曼方程结合时,被分解成一个双曲方程组并进行数值模拟。在我们的模拟中发现,通过包括轴向矢量流的手征异常的影响,膨胀在大约60次e折叠后令人满意地结束。

英文摘要:

In this work, we present results of numerical simulations of the Chern-Simons Inflation Model proposed by Alexander, Marciano and Spergel. According to this model, inflation begins with a fermion condensate interacting with a gauge field. Crucial to the success of this mechanism is the assumption that the Chern-Simons interaction would drive energy from the initial random spectrum into a narrow band of frequencies at superhorizon scales. In this work we numerically confirm this expectation. These gauge fields and currents, when combined with the Friedmann equations, were broken into a system of hyperbolic equations and numerically simulated. It was found in our simulation that, by including the effects of the chiral anomaly for the axial vector current, inflation ended satisfactorily after approximately 60 e-folds.

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