论文标题
宇宙温度的起源
Origin of cosmological temperature
论文作者
论文摘要
标准模型 +一般相对性的经典解由椭圆函数给出，其周期性是宇宙温度的起源。除了假定标准模型之外，没有什么。该解决方案是$ \ mathrm {spin}（4）$ - 对称宇宙在electroweak过渡之前扩展。迅速振荡的$ \ mathrm {su}（2）$ gauge场将希格斯字段保持在$ 0 $中，其力量与比例因子$ a $ $ a $成反比。当$ a $达到$ a _ {\ scriptscriptstyle \ mathrm {ew}} $时，解决方案变得不稳定，而electoweak transition开始。 $ a _ {\ scriptScriptStyle \ Mathrm {ew}} $是解决方案中唯一的免费参数。 $ a _ {\ scriptScriptStryle \ Mathrm {ew}} $的温度为$ m_ {h}/{（6π）^{1/2}} = 28.8 \，\ text {gev} = 3.34 $ a _ {\ scriptScriptStyle \ Mathrm {ew}} $。
A classical solution of the Standard Model + General Relativity is given by an elliptic function whose periodicity in imaginary time is the origin of cosmological temperature. Nothing beyond the Standard Model is assumed. The solution is a $\mathrm{Spin}(4)$-symmetric universe expanding prior to the electroweak transition. A rapidly oscillating $\mathrm{SU}(2)$ gauge field holds the Higgs field to $0$ with strength inversely proportional to the scale factor $a$. When $a$ reaches $a_{\scriptscriptstyle\mathrm{EW}}$ the solution becomes unstable and the electoweak transition begins. $a_{\scriptscriptstyle\mathrm{EW}}$ is the only free parameter in the solution. The temperature at $a_{\scriptscriptstyle\mathrm{EW}}$ is $m_{H}/{(6π)^{1/2}} = 28.8\,\text{GeV} = 3.34 \times 10^{14}\, \text{K}$ whatever the value of $a_{\scriptscriptstyle\mathrm{EW}}$.
