arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.05349astro-ph.COgr-qchep-phhep-th
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宇宙温度的起源

Origin of cosmological temperature

Daniel Friedan

摘要:

标准模型+广义相对论的一个经典解是由一个椭圆函数给出的,该椭圆函数在虚时间中的周期性是宇宙学温度的起源。没有任何超出标准模型的假设。这个解是一个在电弱跃迁之前膨胀的$\mathrm{Spin}(4)$对称宇宙。快速振荡的$\mathrm{SU}(2)$规范场将希格斯场保持为$0$,其强度与标度因子$a$成反比。当$a$达到$a_{\scriptscriptstyle\mathrm{EW}}$时,溶液变得不稳定并且开始电弱转变。$a_{\scriptscriptstyle\mathrm{EW}}$是解决方案中唯一的自由参数。无论$a_{\scriptscriptstyle\mathrm{EW}}$的值如何,$a_{\scriptscriptstyle\mathrm{EW}}$的温度都是$m_{H}/{(6π)^{1/2}} = 28.8\,\text{GeV} = 3.34 \times 10^{14}\, \text{K}$。

英文摘要:

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 $a_{\scriptscriptstyle\mathrm{EW}}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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