Field theory for zero sound and ion acoustic wave in astrophysical matter

Gregory Gabadadze, Rachel A Rosen

    Research output: Contribution to journalArticlepeer-review


    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.
    Original languageUndefined
    Article number1507.06705
    StatePublished - Jul 24 2015


    • hep-ph
    • hep-th

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