论文标题

施温格效应和假真空衰减作为相对论粒子的量子力学隧穿

Schwinger effect and false vacuum decay as quantum-mechanical tunneling of a relativistic particle

论文作者

Ai, Wen-Yuan, Drewes, Marco

论文摘要

我们对一维相对论量子力学中的隧道问题表示了简单而直观的描述,即通过气泡成核通过气泡成核通过气泡成核的虚假衰减的简单描述。这两个问题都可以通过有效电位来描述,该电势取决于尺寸长度的单个变量,该变量测量了雪松对中粒子的分离,或真空衰减的气泡半径。我们表明,如果将此变量解释为具有适当定义的有效质量的相对论粒子的位置,则可以将两个问题描述为一维量子力学中的隧道。可以使用相同的弹跳溶液来获得可靠的数量级估计,以造成施温格对生产和假真空衰减的速率。

We present a simple and intuitive description of both, the Schwinger effect and false vacuum decay through bubble nucleation, as tunneling problems in one-dimensional relativistic quantum mechanics. Both problems can be described by an effective potential that depends on a single variable of dimension length, which measures the separation of the particles in the Schwinger pair, or the radius of a bubble for the vacuum decay. We show that both problems can be described as tunneling in one-dimensional quantum mechanics if one interprets this variable as the position of a relativistic particle with a suitably defined effective mass. The same bounce solution can be used to obtain reliable order of magnitude estimates for the rates of the Schwinger pair production and false vacuum decay.

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