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arXiv 1409.2115gr-qcastro-ph.COhep-thquant-ph
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用Einstein-Hilbert量子化action研究真空小气泡的膨胀

Inflation of small true vacuum bubble by quantization of Einstein-Hilbert action

Dongshan He, Qing-yu Cai

摘要:

研究了无物质和无标量场的真空小泡的爱因斯坦-希尔伯特作用量的量子化。作用量的量子化在Hamilton-Jacobi方程中引入了一个额外的势项,称为量子势,它给出了气泡标量因子$a$的指数展开解。我们发现,指数膨胀的气泡继续以一个短的周期(约普朗克时间$t_p$),无论是封闭的,平坦的或开放的气泡。当气泡变大时,指数膨胀自发地结束,即,气泡的标量因子$a$接近普朗克长度$l_p$。我们证明了慢卷暴胀模型中的标量场势起作用的是小真空泡的量子势。利用量子隧穿的图像,计算了暴胀过程中的粒子产生率,表明暴胀产生的粒子具有再加热宇宙的能力。

英文摘要:

We study the quantization of the Einstein-Hilbert action for a small true vacuum bubble without matter or scalar field. The quantization of action induces an extra term of potential called quantum potential in Hamilton-Jacobi equation, which gives expanding solutions including the exponential expansion solutions of the scalar factor $a$ for the bubble. We show that exponential expansion of the bubble continues with a short period (about a Planck time $t_p$), no matter whether the bubble is closed, flat or open. The exponential expansion ends spontaneously when the bubble becomes large, i.e., the scalar factor $a$ of the bubble approaches a Planck length $l_p$. We show that it is quantum potential of the small true vacuum bubble that plays the role of the scalar field potential suggested in the slow-roll inflation model. With the picture of quantum tunneling, we calculate particle creation rate during inflation, which shows that particles created by inflation have the capability of reheating the universe.

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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