Polarization of a spinor field vacuum on manifolds of the Lie groups

A. I. Breev, I. V. Shirokov

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    A procedure for calculation of vacuum average values of the energy-momentum tensors for a spinor field on manifolds of the Lie group is developed. To solve the formulated problem, the method of generalized harmonic analysis on the Lie groups based on the method of orbits of coadjoint representation is used.

    Original languageEnglish
    Pages (from-to)823-832
    Number of pages10
    JournalRussian Physics Journal
    Volume52
    Issue number8
    DOIs
    Publication statusPublished - 2009

    Fingerprint

    harmonic analysis
    vacuum
    polarization
    kinetic energy
    tensors
    orbits

    Keywords

    • Energy-momentum tensor
    • Polarization of the vacuum
    • Renormalization

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Polarization of a spinor field vacuum on manifolds of the Lie groups. / Breev, A. I.; Shirokov, I. V.

    In: Russian Physics Journal, Vol. 52, No. 8, 2009, p. 823-832.

    Research output: Contribution to journalArticle

    Breev, A. I. ; Shirokov, I. V. / Polarization of a spinor field vacuum on manifolds of the Lie groups. In: Russian Physics Journal. 2009 ; Vol. 52, No. 8. pp. 823-832.
    @article{35a0ae8f3fba4543ab2a9ab27e5afb7a,
    title = "Polarization of a spinor field vacuum on manifolds of the Lie groups",
    abstract = "A procedure for calculation of vacuum average values of the energy-momentum tensors for a spinor field on manifolds of the Lie group is developed. To solve the formulated problem, the method of generalized harmonic analysis on the Lie groups based on the method of orbits of coadjoint representation is used.",
    keywords = "Energy-momentum tensor, Polarization of the vacuum, Renormalization",
    author = "Breev, {A. I.} and Shirokov, {I. V.}",
    year = "2009",
    doi = "10.1007/s11182-010-9311-7",
    language = "English",
    volume = "52",
    pages = "823--832",
    journal = "Russian Physics Journal",
    issn = "1064-8887",
    publisher = "Consultants Bureau",
    number = "8",

    }

    TY - JOUR

    T1 - Polarization of a spinor field vacuum on manifolds of the Lie groups

    AU - Breev, A. I.

    AU - Shirokov, I. V.

    PY - 2009

    Y1 - 2009

    N2 - A procedure for calculation of vacuum average values of the energy-momentum tensors for a spinor field on manifolds of the Lie group is developed. To solve the formulated problem, the method of generalized harmonic analysis on the Lie groups based on the method of orbits of coadjoint representation is used.

    AB - A procedure for calculation of vacuum average values of the energy-momentum tensors for a spinor field on manifolds of the Lie group is developed. To solve the formulated problem, the method of generalized harmonic analysis on the Lie groups based on the method of orbits of coadjoint representation is used.

    KW - Energy-momentum tensor

    KW - Polarization of the vacuum

    KW - Renormalization

    UR - http://www.scopus.com/inward/record.url?scp=77949775547&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=77949775547&partnerID=8YFLogxK

    U2 - 10.1007/s11182-010-9311-7

    DO - 10.1007/s11182-010-9311-7

    M3 - Article

    VL - 52

    SP - 823

    EP - 832

    JO - Russian Physics Journal

    JF - Russian Physics Journal

    SN - 1064-8887

    IS - 8

    ER -