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Tree-Level Unitarity and Renormalizability in Lifshitz Scalar Theory

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arxiv 1510.07237 v1 pith:EYDTRECP submitted 2015-10-25 hep-th gr-qc

Toshiaki Fujimori , Takeo Inami , Keisuke Izumi , Tomotaka Kitamura This is my paper · ORCID
classification hep-thgr-qc
keywords renormalizabilityunitarityconditionsconventionallifshitzrelativisticscalartheories
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories

    hep-th 2019-08 conditional novelty 8.0 of 10

    A new class of N=2 holomorphic Lifshitz supersymmetric models is shown to possess exact lines of quantum critical fixed points with coupling-dependent dynamical exponent z.

  2. On the Renormalization Group Flow of Active Flocks

    cond-mat.soft 2026-06 unverdicted novelty 7.0 of 10

    All-order RG analysis of Toner-Tu flocks in 2D isotropic diffusion yields a line of fixed points and marginal vertex instability at Δ/κ = 2π separating Gaussian and symmetry-protected interacting gapless phases with o...

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