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

Gregory Gabadadze, Rachel A. Rosen

    Research output: Contribution to journalArticle

    Abstract

    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 pointlike 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 of 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 languageEnglish (US)
    Article number043005
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume93
    Issue number4
    DOIs
    StatePublished - Feb 5 2016

    Fingerprint

    zero sound
    ion acoustic waves
    astrophysics
    white dwarf stars
    charged particles
    ions
    helium
    nuclei
    carbon
    oxygen
    liquids
    crystals
    electrons

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Field theory for zero sound and ion acoustic wave in astrophysical matter. / Gabadadze, Gregory; Rosen, Rachel A.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 93, No. 4, 043005, 05.02.2016.

    Research output: Contribution to journalArticle

    @article{ddb033a4818441b0979fe7c5bb9c59a3,
    title = "Field theory for zero sound and ion acoustic wave in astrophysical matter",
    abstract = "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 pointlike 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 of 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.",
    author = "Gregory Gabadadze and Rosen, {Rachel A.}",
    year = "2016",
    month = "2",
    day = "5",
    doi = "10.1103/PhysRevD.93.043005",
    language = "English (US)",
    volume = "93",
    journal = "Physical review D: Particles and fields",
    issn = "1550-7998",
    publisher = "American Physical Society",
    number = "4",

    }

    TY - JOUR

    T1 - Field theory for zero sound and ion acoustic wave in astrophysical matter

    AU - Gabadadze, Gregory

    AU - Rosen, Rachel A.

    PY - 2016/2/5

    Y1 - 2016/2/5

    N2 - 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 pointlike 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 of 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.

    AB - 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 pointlike 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 of 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.

    UR - http://www.scopus.com/inward/record.url?scp=84959474189&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84959474189&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevD.93.043005

    DO - 10.1103/PhysRevD.93.043005

    M3 - Article

    VL - 93

    JO - Physical review D: Particles and fields

    JF - Physical review D: Particles and fields

    SN - 1550-7998

    IS - 4

    M1 - 043005

    ER -