发表机构
University of Cambridge; Universidade Federal da Pernambuco（剑桥大学; 伯南布哥联邦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文计算了$(1+1)$维标量场论中小振幅振荡子的周期积分动量通量，证明其领头阶为$\eps^{N+4}$（偶数$N$）或$\eps^{N+5}$（奇数$N$），除$N=1$时为$\eps^4$，表明通量极小。
AI 中文摘要
在$(1+1)$维标量场论中，振荡子是一种振荡的、局域的、几乎周期的经典解，它缓慢辐射并衰变为真空解。我们计算了其在一个周期内积分的动量通量，对于精确的呼吸子，该通量为零。对于小振幅$\eps$的振荡子，截断至$\eps^N$阶，我们证明积分的动量通量的领头阶对于偶数$N$为$\eps^{N+4}$，对于奇数$N$为$\eps^{N+5}$，但$N=1$除外，此时为$\eps^4$阶。因此，该通量非常小。
英文摘要
An oscillon in scalar field theory in $(1+1)$-dimensions is an oscillating, localised, almost periodic classical solution that slowly radiates and decays to the vacuum solution. We calculate its momentum flux integrated over a period, which would be zero for an exact breather. For an oscillon of small amplitude $\eps$, truncated at order $\eps^N$, we show that the integrated momentum flux is of leading order $\eps^{N+4}$ for even $N$ and $\eps^{N+5}$ for odd $N$, except for $N=1$, where it is of order $\eps^4$. It is therefore very small.
