由非均匀三维空间和$S^1\ imes R^3$拓扑时空引起的量子布朗运动
Quantum Brownian motion induced by an inhomogeneous tridimensional space and a $S^1\times R^3$ topological space-time
AI总结：
本文研究不同边界条件下无质量标量场真空涨落诱导的量子布朗运动，推导速度色散解析式并分析其发散行为。
摘要：
在本文中，我们研究了在(3+1)维闵可夫斯基时空背景下，由无质量标量场的量子真空涨落诱导的点粒子量子布朗运动，该时空具有不同的边界条件（狄利克雷、诺伊曼、混合和准周期）。场的模式被限制并紧致化到一个有限长度区域，这因此为系统提供了一个自然的测量尺度。我们获得了Wightman函数的有用表达式，这使得我们能够计算在所有考虑的条件情况下速度色散的解析表达式。我们还得到了在短时间和晚时间区间内的速度色散表达式。最后，我们展示了一些图表以显示速度色散的行为，并讨论了我们的结果中存在的重大发散。
英文摘要：
In this paper we investigate the Quantum Brownian motion of a point particle induced by quantum vacuum fluctuations of a massless scalar field in (3 + 1)-dimensional Minkowski spacetime with distinct conditions (Dirichlet, Neumann, mixed and quasiperiodic). The modes of the field are confined and compactified to a finite length region, which consequently provides a natural measure scale for the system. Useful expressions for the Wightman function have been obtained, which allow us to calculate analytical expressions for the velocity dispersion in all condition cases considered. We also obtain expressions for the velocity dispersion in the short and late time regimes. Finally, we exhibit some graphs in order to show the behavior of the velocity dispersions, discussing important divergencies that are present in our results.
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。
