小振幅准呼吸子和准谐振子
Small amplitude quasi-breathers and oscillons
摘要：
拟呼吸子（QB）是在G。Fodor等人，Phys. Rev. D. 74，124003（2006）。QB's提供了一个简单的描述，非常长寿的空间局域化的时间依赖的解决方案。在$D$空间维中，在具有一般自相互作用势的一大类标量理论中，计算了QB的小振幅极限。结果表明，小振幅QB的问题是减少到一个普遍的椭圆型偏微分方程。还发现存在一个临界尺寸$D_{crit}=4$，在该尺寸以上不存在小振幅QB。这样得到的QB的示出提供了非常好的初始数据的pronons。因此，这些QB的提供了复杂的解决方案，非线性的时间依赖性问题的小振幅的标量理论的光子。
英文摘要：
Quasi-breathers (QB) are time-periodic solutions with weak spatial localization introduced in G. Fodor et al. in Phys. Rev. D. 74, 124003 (2006). QB's provide a simple description of oscillons (very long-living spatially localized time dependent solutions). The small amplitude limit of QB's is worked out in a large class of scalar theories with a general self-interaction potential, in $D$ spatial dimensions. It is shown that the problem of small amplitude QB's is reduced to a universal elliptic partial differential equation. It is also found that there is the critical dimension, $D_{crit}=4$, above which no small amplitude QB's exist. The QB's obtained this way are shown to provide very good initial data for oscillons. Thus these QB's provide the solution of the complicated, nonlinear time dependent problem of small amplitude oscillons in scalar theories.
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