arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1004.2125hep-phastro-ph.COgr-qc
收藏

相干振荡粒子产生的非微扰修正

Non-perturbative Corrections to Particle Production from Coherent Oscillation

Takehiko Asaka, Hiroaki Nagao

备注：
24 pages, 8 figures
发表信息：
Prog.Theor.Phys.124:293-314,2010
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

利用基于Bogolyubov变换的方法研究了相干振荡的粒子产生。特别地，我们研究了当振荡的振幅以及与振荡场的耦合常数都很小时，以避免宽参数共振的非微扰修正的情况。我们导出了在耦合常数的首阶的分布函数和产生粒子数密度的表达式。然而，发现即使耦合常数很小，由于非微扰效应，这些结果最终也不能描述精确的粒子产生。然后，我们介绍了一种简单的方法来处理这种校正，即，时间平均法。结果表明，该方法成功地提供了增长模式的占领数的演变。此外，我们指出，这种方法的近似结果满足来自相干振荡的周期性的精确标度性质。

英文摘要：

We investigate particle production from coherent oscillation by using the method based on the Bogolyubov transformation. Especially, we study the case when the amplitude of the oscillation and also the coupling constants with the oscillating field are small in order to avoid the non-perturbative corrections from the broad parametric resonance. We derive the expressions for the distribution functions and the number densities of produced particles at the leading order of coupling constant. It is, however, found that these results fail to describe the exact particle production eventually due to the non-perturbative effects even if the coupling constants are small. We then introduce a simple method to handle with such corrections, i.e., the time averaging method. It is shown that this method successfully provides the evolution of the occupation numbers of the growing mode. Further, we point out that the approximate results by this method satisfy the exact scaling properties coming from the periodicity of the coherent oscillation.

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。

↑