LIV对声学FRW几何中量子随机运动的影响
LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
摘要：
在文献中众所周知，真空涨落可以引起粒子的随机运动，有时称为量子布朗运动或量子随机运动。在本文中，我们考虑的洛伦兹不变性破坏（LIV）在声学空间平坦的Friedman-Robertson-Walker（FRW）几何。特别是，我们正在寻找的标量和大量的测试粒子的随机运动中的LIV效应。这种运动是由这种几何上的无质量量子化标量场引起的，而这种量子化又是由具有LIV的阿贝尔希格斯模型导出的。的粒子的速度分散的偏差成比例的LIV参数被发现。
英文摘要：
It is well known in the literature that vacuum fluctuations can induce a random motion of particles which is sometimes called quantum Brownian motion or quantum stochastic motion. In this paper, we consider Lorentz Invariance Violation (LIV) in an acoustic spatially flat Friedman-Robertson-Walker (FRW) geometry. In particular, we are looking for the LIV effects in the stochastic motion of scalar and massive test particles. This motion is induced by a massless quantized scalar field on this geometry, which in turn is derived from an Abelian Higgs model with LIV. Deviations in the velocity dispersion of the particles proportional to the LIV parameter are found.
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