Tree-level unitarity and renormalizability in Lifshitz scalar theory

Toshiaki Fujimori, Takeo Inami, Keisuke Izumi, Tomotaka Kitamura*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    11 Citations (Scopus)


    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.

    Original languageEnglish
    Article number013B08
    JournalProgress of Theoretical and Experimental Physics
    Issue number1
    Publication statusPublished - 2016 Jan 1

    ASJC Scopus subject areas

    • Physics and Astronomy(all)


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