论文标题

气泡膨胀在零温度下的不稳定性

Instability of bubble expansion at zero temperature

论文作者

Ai, Wen-Yuan, Cruz, Juan S., Garbrecht, Bjorn, Tamarit, Carlos

论文摘要

在零温度下的错误真空衰减的背景下,众所周知,气泡以均匀的适当加速而扩展。我们表明,这种统一的加速膨胀受到与气泡大小相关的不稳定性。在Minkowski时空可以观察到这是在能量函数范围的速度模式中,在参考框架中,能量功能均匀的函数均匀加速了气泡壁似乎是静态的。在这样的框架中,任意的小扰动会导致与静态壁溶液的放大偏移。这意味着成核气泡不是成核的其余框架中能量功能的关键点,而是在加速框架中成为一个。真空气泡的上述不稳定性可能与在等离子体的其余框架中有限温度相变的核定临界静态气泡的众所周知的不稳定性有关。因此,有人提出,从加速帧中可以看出的零温度真空衰减在有限温度的相变为双重描述。

In the context of false vacuum decay at zero temperature, it is well known that bubbles expand with uniform proper acceleration. We show that this uniformly accelerating expansion suffers from an instability related to the bubble size. This can be observed in Minkowski spacetime as a tachyonic mode in the spectrum of fluctuations for the energy functional in the reference frame in which the uniformly accelerating bubble wall appears static. In such a frame, arbitrary small perturbations cause an amplifying departure from the static wall solution. This implies that the nucleated bubble is not a critical point of the energy functional in the rest frame of nucleation but becomes one in the accelerating frame. The aforementioned instability for vacuum bubbles can be related to the well-known instability for the nucleated critical static bubbles during finite-temperature phase transitions in the rest frame of the plasma. It is therefore proposed that zero-temperature vacuum decays as seen from accelerating frames have a dual description in terms of finite-temperature phase transitions.

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