论文标题
奇数尺寸的同步辐射
Synchrotron radiation in odd dimensions
论文作者
论文摘要
在奇怪的时空尺寸中，无质量波方程的智障解不仅在光锥上，而且还具有内部的支撑。同时，自由质量的场应以光速传播。这两个特征的明显矛盾是通过以下事实来解决的：波动区域中的田地部分取决于运动史直到适当时间的迟钝时刻。结果表明，在具有超偏移速度的循环运动的情况下，对辐射幅度的主要贡献是通过在迟发时间之前的适当时间间隔做出的，因此尾术是有效地定位的。我们在$ d $ dimensions中获得标量同步辐射的暂定公式：$ p = g^2（ω__0γ^2/\ sqrt {3}）^{d-2} $，在$ d = 3，\，\，\，4，\，\，5 $中明确验证。
In odd space-time dimensions, the retarded solution of the massless wave equation has support not only on the light cone, but also inside it. At the same time, a free massless field should propagate at the speed of light. The apparent contradiction of these two features is resolved by the fact that the emitted part of the field in the wave zone depends on the history of motion up to the retarded moment of proper time. It is shown that in the case of circular motion with ultrarelativistic velocity, the main contribution to the radiation amplitude is made by a small interval of proper time preceding the retarded time, and thus the tail term is effectively localized. We obtain a tentative formula for scalar synchrotron radiation in $D$ dimensions: $P =g^2(ω_0γ^2/\sqrt{3})^{D-2}$, which is explicitly verified in $D=3,\,4,\,5$.
