扩展量子Proca场
Expanding quantum Proca field
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中文总结 AI 辅助
本研究探讨外部电流下Proca场的量子动力学，揭示电荷产生后场扩展伴随移动前沿的非平衡态，并发现点电荷产生中的冲击波结构。
中文摘要 AI 辅助
我们考虑一个实有质量矢量场与外部电流耦合的Proca理论。该理论允许与外部电流相关的电荷不守恒。这是因为总守恒电流由外部电流和与Proca场相关的内部电流之和给出，而这两者都不需要分别守恒。此外，该理论允许对由电荷分布产生的纵向场进行量子描述。我们通过研究电荷产生过程后Proca场因果形成的量子动力学来探索这两个特性。由此产生的非平衡量子态表现出一个扩展的Proca场，并伴随一个移动的前沿。我们将此态与代表相应静态Proca场的态进行比较，并识别出这些态之间的根本差异。详细讨论了存在外部电流时Proca理论的量子化。给出了关于该理论量子动力学的一般结果。特别强调了瞬时开启原本静态外部电流的问题。在点电荷产生问题中发现了有趣的冲击波结构，同时也讨论了扩展电荷产生问题。
英文摘要
We consider the Proca theory of a real massive vector field coupled to an external current. This theory allows for non-conservation of the charge associated with the external current. It is so because the total conserved current is given by the sum of the external current and the internal current associated with the Proca field, neither of which is required to be conserved separately. Moreover, this theory admits the quantum description of a longitudinal field generated by a charge distribution. We explore both features by studying the quantum dynamics underlying the causal formation of the Proca field following the charge-creation process. The resulting non-equilibrium quantum state exhibits an expanding Proca field accompanied by a moving front. We compare this state with the one representing the corresponding static Proca field and identify fundamental differences between these states. The quantization of the Proca theory in the presence of an external current is discussed in detail. General results concerning the quantum dynamics of this theory are presented. Particular emphasis is placed on the problem of the instantaneous switching-on of an otherwise static external current. An intriguing shockwave structure is found in the point-charge creation problem, the extended-charge creation problem is also discussed.
发表机构
- Jagiellonian University（雅盖隆大学）
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