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arXiv 1408.4141hep-thastro-ph.COastro-ph.HEhep-ph
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四维de Sitter空间中的Schwinger效应与早期宇宙磁成因的制约

Schwinger Effect in 4D de Sitter Space and Constraints on Magnetogenesis in the Early Universe

Takeshi Kobayashi, Niayesh Afshordi

摘要:

本文研究了四维de Sitter空间中电场对的产生。利用绝热正则化方法计算了感应电流的期望值。在强电场下,电流的行为与平坦空间中的行为相似,而在弱电场下,电流与带电场的质量平方成反比。由此我们发现,在弱电场下,当存在质量很小的带电场时,de Sitter空间具有很大的电导率。然后,我们将结果应用于约束早期宇宙中的电磁场。特别是,我们研究宇宙学的情况下产生的大规模磁场在暴胀时代。与磁场一起产生的电场可以诱导足够大的电导率以终止磁生成的阶段。对于具有修正的Maxwell动力学项的暴胀磁生模型,当拉格朗日量中存在质量小于或等于哈勃尺度的元电荷时,在Mpc尺度下产生的磁场不可能超过10^{-30} G.来自施温格效应的类似限制适用于其他磁生成机制。

英文摘要:

We investigate pair creation by an electric field in four-dimensional de Sitter space. The expectation value of the induced current is computed, using the method of adiabatic regularization. Under strong electric fields the behavior of the current is similar to that in flat space, while under weak electric fields the current becomes inversely proportional to the mass squared of the charged field. Thus we find that the de Sitter space obtains a large conductivity under weak electric fields in the presence of a charged field with a tiny mass. We then apply the results to constrain electromagnetic fields in the early universe. In particular, we study cosmological scenarios for generating large-scale magnetic fields during the inflationary era. Electric fields generated along with the magnetic fields can induce sufficiently large conductivity to terminate the phase of magnetogenesis. For inflationary magnetogenesis models with a modified Maxwell kinetic term, the generated magnetic fields cannot exceed 10^{-30} G on Mpc scales in the present epoch, when a charged field carrying an elementary charge with mass of order the Hubble scale or smaller exists in the Lagrangian. Similar constraints from the Schwinger effect apply for other magnetogenesis mechanisms.

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