Walecka模型中Dirac海的积分
Integrating out the Dirac sea in the Walecka model
摘要：
我们推导出一个纯粹的费米子无海有效理论，具有正能量状态的Walecka模型。与从一开始就简单地忽略狄拉克海的无海近似的所谓平均场论方法相反，我们转向相对论哈特里近似，并从基本的量子场论明确地构建一个无海有效理论。在这两种方法中得到的一些结果是相互面对的。这揭示了新的光的可靠性的平均场论与无海近似以及狄拉克海的作用。限制到1+1维，我们获得新的分析见解非均匀核物质。
英文摘要：
We derive a purely fermionic no-sea effective theory, featuring positive-energy states only for the Walecka model. In contrast to the so-called mean-field theory approach with the no-sea approximation, where the Dirac sea is simply omitted from the outset, we turn to the relativistic Hartree approximation and explicitly construct a no-sea effective theory from the underlying quantum field theory. Several results obtained within these two approaches are confronted with each other. This sheds new light on the reliability of the mean-field theory with the no-sea approximation as well as the role of the Dirac sea. Restricting to 1+1 dimensions, we obtain new analytical insights into nonuniform nuclear matter.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
