Power-counting and renormalizability in Lifshitz scalar theory

Toshiaki Fujimori, Takeo Inami, Keisuke Izumi, Tomotaka Kitamura

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Article number125007
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume91
    Issue number12
    DOIs
    Publication statusPublished - 2015 Jun 4

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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