Power-counting and renormalizability in Lifshitz scalar theory

Toshiaki Fujimori, Takeo Inami, Keisuke Izumi, Tomotaka Kitamura

    研究成果: Article査読

    14 被引用数 (Scopus)

    抄録

    We study the renormalizability in theories of a self-interacting Lifshitz scalar field. We show that although the statement of power-counting is true at one-loop order, in generic cases where the scalar field is dimensionless, an infinite number of counterterms are involved in the renormalization procedure. This problem can be avoided by imposing symmetries, the shift symmetry in the present paper, which allow only a finite number of counterterms to appear. The symmetry requirements might have important implications for the construction of matter field sectors in the Hořava-Lifshitz gravity.

    本文言語English
    論文番号125007
    ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
    91
    12
    DOI
    出版ステータスPublished - 2015 6月 4

    ASJC Scopus subject areas

    • 核物理学および高エネルギー物理学

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