论文标题

De Sitter Universe和宇宙恒定问题的双鹰温度

Double Hawking temperature in de Sitter Universe and cosmological constant problem

论文作者

Volovik, G. E.

论文摘要

与黑洞物理学不同,DE STINTER热力学并不由宇宙学范围确定,有效温度与鹰温度不同。特别是,De Sitter宇宙中的原子经历了与局部温度相对应的热激活,该温度比鹰温度高两倍,$ t _ {\ rm loc} = 2t _ {\ rm hawking} $。相同的双鹰温度描述了De Sitter宇宙中巨大标量场的衰减。原因是,局部温度正好是霍金温度的两倍,是从保姆时空的几何形状出发的。通过考虑霍金辐射,可以证实宇宙学范围在DE Sitter宇宙中的作用削弱。我们讨论了Sitter时空中粒子的辐射与电场中的Schwinger对创建之间的差异。我们将固定的painleve-gullstrand度量用于de Sitter时空,其中粒子是由宇宙学范围的鹰辐射创建的,而电场的时间独立仪。在这些固定框架中,哈密顿量和巨大颗粒的能量光谱看起来相当相似。但是,最终结果基本不同。如果施温格对生产产生,则创建对的数量密度随时间增长,而在de Sitter真空中,创建对的数量密度是有限的。后者表明,从宇宙学范围内的鹰辐射不会导致De Sitter真空的不稳定。宇宙常数问题的动态解决方案需要其他不稳定性的机制。我们考虑局部温度$ t _ {\ rm loc} = 2T _ {\ rm h} $在DE安慰剂时空的衰减中,由于真空能量和相对论问题之间的能量交换,在此温度下。

As distinct from the black hole physics, the de Sitter thermodynamics is not determined by the cosmological horizon, the effective temperature differs from the Hawking temperature. In particular, the atom in the de Sitter universe experiences thermal activation corresponding to the local temperature, which is twice larger than the Hawking temperature, $T_{\rm loc}=2T_{\rm Hawking}$. The same double Hawking temperature describes the decay of massive scalar field in the de Sitter universe. The reason, why the local temperature is exactly twice the Hawking temperature, follows from the geometry of the de Sitter spacetime. The weakening of the role of the cosmological horizon in de Sitter universe is confirmed by considering Hawking radiation. We discuss the difference between the radiation of particles in the de Sitter spacetime and the Schwinger pair creation in the electric field. We use the stationary Painleve-Gullstrand metric for the de Sitter spacetime, where the particles are created by Hawking radiation from the cosmological horizon, and time independent gauge for the electric field. In these stationary frames the Hamiltonians and the energy spectra of massive particles look rather similar. However, the final results are essentially different. In case of Schwinger pair production the number density of the created pairs grows with time, while in the de Sitter vacuum the number density of the created pairs is finite. The latter suggests that Hawking radiation from the cosmological horizon does not lead to instability of the de Sitter vacuum. The other mechanisms of instability are required for the dynamical solution of the cosmological constant problem. We consider the possible role of the local temperature $T_{\rm loc}=2T_{\rm H}$ in the decay of the de Sitter space-time due to the energy exchange between the vacuum energy and relativistic matter with this temperature.

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