天体物质中零声和离子声波的场论
Field Theory for Zero Sound and Ion Acoustic Wave in Astrophysical Matter
摘要：
我们建立了一个描述白矮星中高密度物质的纵向低能模的场论模型。在相关尺度下，离子--氧、碳和氦的原子核--在有效场论方法中被视为重的点状自旋0带电粒子，而电子动力学则由单圈水平的狄拉克拉格朗日描述。我们发现，无论离子是在等离子体，晶体，或量子液体状态，系统中总是存在一个纵向无隙模式。对于某些值的参数，无间隙模式可以被解释为零声模式，对于其他值，作为离子声波，我们表明，零声和离子声波是互补的。我们讨论了这些模式对白矮星性质的可能物理后果。
英文摘要：
We set up a field theory model to describe the longitudinal low energy modes in high density matter present in white dwarf stars. At the relevant scales, ions -- the nuclei of oxygen, carbon and helium -- are treated as heavy point-like spin-0 charged particles in an effective field theory approach, while the electron dynamics is described by the Dirac Lagrangian at the one-loop level. We show that there always exists a longitudinal gapless mode in the system irrespective whether the ions are in a plasma, crystal, or quantum liquid state. For certain values of the parameters, the gapless mode can be interpreted as a zero sound mode and, for other values, as an ion acoustic wave; we show that the zero sound and ion acoustic wave are complementary to each other. We discuss possible physical consequences of these modes for properties of white dwarfs.
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