标题： 微观因果性和费米子Myers-Pospelov模型的量子化 显示英文标题

标题： Microcausality and quantization of the fermionic Myers-Pospelov model

摘要： 我们研究Myers和Pospelov理论中的费米子部分，该理论具有一般的背景$n$。 无时间分量的类空情况是良好定义的，除了显式的洛伦兹不变性破缺外，没有新的要素出现。 类光情况是不合理的，并在物理上被排除。 然而，当存在非零的时间分量背景时，该理论在物理上是一致的。 我们表明，由于高阶时间导数的存在，会出现新的模式。 我们对类时理论进行量子化，并计算微观因果性破坏，结果发现这种破坏发生在光锥附近。 显示英文摘要

摘要： We study the fermionic sector of the Myers and Pospelov theory with a general background $n$. The spacelike case without temporal component is well defined and no new ingredients came about, apart from the explicit Lorentz invariance violation. The lightlike case is ill defined and physically discarded. However, the other case where a nonvanishing temporal component of the background is present, the theory is physically consistent. We show that new modes appear as a consequence of higher time derivatives. We quantize the timelike theory and calculate the microcausality violation which turns out to occur near the light cone.