Pair production in a constant electric field is closely analogous to bubble nucleation in a false vacuum. The classical trajectories of the pairs are Lorentz invariant, but this invariance should be broken by the nucleation process. Garriga et al. used a model detector, consisting of other particles interacting with the pairs, to investigate how pair production is seen by different Lorentzian observers. They found that particles (antiparticles) of the pair are predominantly observed moving in the direction of (opposite to) the electric field and concluded that observers see pairs nucleating preferentially in the detector's rest frame. Here, we apply this approach to the case where two detectors moving relative to one another are used to observe the particle and antiparticle of the same pair. We find that each detector will still observe nucleation to occur in its rest frame, regardless of the motion of the other detector. However, if the relative velocity of the two detectors is sufficiently high, the particle and antiparticle of the pair can be observed moving towards one another with arbitrarily large momenta, contrary to the usual expectation.

恒定电场中的对产生非常类似于假真空中的气泡成核。对的经典轨迹是洛伦兹不变的，但这种不变性应该被成核过程打破。加里加等人。使用由与对相互作用的其他粒子组成的模型检测器来研究不同洛伦兹观察者如何看到对产生。他们发现，主要观察到这对粒子（反粒子）在电场的方向（相反）上移动，并得出结论，观察者看到的粒子对优先在探测器的静止框架中成核。在这里，我们将这种方法应用于使用两个相对移动的探测器来观察同一对的粒子和反粒子的情况。我们发现，无论另一个检测器的运动如何，每个检测器仍会观察到在其静止帧中发生的成核。然而，如果两个探测器的相对速度足够高，则可以观察到这对粒子和反粒子以任意大的动量相互移动，这与通常的预期相反。