论文标题
PROCA理论中的周期性充电振荡
Periodic charge oscillations in the Proca theory
论文作者
论文摘要
我们考虑了真正的大规模向量领域的Proca理论。在这样的理论中，有一个本地保守的4电流运算符，可以用来定义电荷运算符。因此，在有指控的状态下，电荷运营商的期望值为非零。我们仔细研究了电荷运营商，并研究了一类带电状态的动态。为此，我们讨论了此类状态下的平均电场和4电流。平均电场具有定期振荡的库仑组件，其存在解释了周期性电荷振荡。平均4-电流提供了这种现象的互补见解，其讨论导致了某个悖论的识别。最后但并非最不重要的一点是，我们表明研究系统中存在冲击波传播，这会影响平均电场和4电流的分析性。
We consider the Proca theory of the real massive vector field. There is a locally conserved 4-current operator in such a theory, which one may use to define the charge operator. Accordingly, there are charged states in which the expectation value of the charge operator is non-zero. We take a close look at the charge operator and study the dynamics of the certain class of charged states. For this purpose, we discuss the mean electric field and 4-current in such states. The mean electric field has the periodically oscillating Coulomb component, whose presence explains the periodic charge oscillations. A complementary insight at such a phenomenon is provided by the mean 4-current, whose discussion leads to the identification of a certain paradox. Last but not least, we show that there is a shock wave propagating in the studied system, which affects analyticity of the mean electric field and 4-current.
