Tree-level unitarity and renormalizability in Lifshitz scalar theory

Toshiaki Fujimori, Takeo Inami, Keisuke Izumi, Tomotaka Kitamura

    研究成果: Article査読

    10 被引用数 (Scopus)

    抄録

    We study unitarity and renormalizability in the Lifshitz scalar field theory, which is characterized by an anisotropic scaling between the space and time directions.Without the Lorentz symmetry, both the unitarity and the renormalizability conditions are modified from those in relativistic theories. We show that for renormalizability, an extended version of the power-counting condition is required in addition to the conventional one. The unitarity bound for S-matrix elements also gives stronger constraints on interaction terms because of the reference frame dependence of scattering amplitudes. We prove that both unitarity and renormalizability require identical conditions as in the case of conventional relativistic theories.

    本文言語English
    論文番号013B08
    ジャーナルProgress of Theoretical and Experimental Physics
    2016
    1
    DOI
    出版ステータスPublished - 2016 1 1

    ASJC Scopus subject areas

    • 物理学および天文学(全般)

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