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2015

Tree-Level Unitarity and Renormalizability in Lifshitz Scalar Theory

Fujimori, Toshiaki, Inami, Takeo, Izumi, Keisuke et al.

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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.

Tree-Level Unitarity and Renormalizability in Lifshitz Scalar Theory · Around

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