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Radiation of scalar oscillons in 2 and 3 dimensions

机译:标量振荡在二维和三维中的辐射

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摘要

The radiation loss of small-amplitude radially symmetric oscillons (long-living, spatially localized, time-dependent solutions) in two- and three-dimensional scalar field theories is computed analytically in the small-amplitude expansion. The amplitude of the radiation is beyond all orders in perturbation theory and it is determined using matched asymptotic series expansions and Borel summation. The general results are illustrated on the case of the two- and three-dimensional sine-Gordon theory and a two-dimensional φ~6 model. The analytic predictions are found to be in good agreement with the results of numerical simulations of oscillons.
机译:在二维和三维标量场理论中,小振幅径向对称振荡(长寿命、空间局域化、瞬态解)的辐射损耗在小振幅展开中解析计算。辐射的振幅超出了微扰理论中的所有阶数,它是使用匹配的渐近级数展开和Borel求和来确定的。以二维和三维正弦戈登理论和二维φ~6模型为例,阐述了一般结果。分析预测结果与振荡数值模拟结果吻合较好。

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