时空中的费米传播子
Fermion propagators in space-time
摘要:
研究了无限大非相互作用费米系统的单粒子和双粒子传播子随时空坐标的变化。他们的行为在原点和渐近区域进行了讨论,因为是他们的费米动量缩放。两个传播子在相同的时间都有一个发散。费米子之间的相互作用对它们的动量分布,对它们的对关联函数,因此,对库仑求和规则的影响进行了探讨,使用唯象模型。最后简要讨论了约束如何反映在系统组成部分的动量分布中的问题。
英文摘要:
The one- and the two-particle propagators for an infinite non-interacting Fermi system are studied as functions of space-time coordinates. Their behaviour at the origin and in the asymptotic region is discussed, as is their scaling in the Fermi momentum. Both propagators are shown to have a divergence at equal times. The impact of the interaction among the fermions on their momentum distribution, on their pair correlation function and, hence, on the Coulomb sum rule is explored using a phenomenological model. Finally the problem of how the confinement is reflected in the momentum distribution of the system's constituents is briefly addressed.
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