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arXiv · 2010.05966

On the regularization of Lifshitz-type field theories

Alfio Bonanno·Miok Park·Lesław Rachwał·Dario Zappalà
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Abstract

We consider Lifshitz-type scalar theories with explicit breaking of the Lorentz symmetry that, in addition, exhibit anisotropic scaling laws near the ultraviolet fixed point. Using the proper time regularization method on the spatial coordinates only, we derive the regularized form of the one-loop effective potential in such theories. We study the main features of the one-loop effective potential and, also, the RG flow of the scale-dependent potential both in the IR and UV regimes. The beta functions for the couplings are derived.

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Alfio Bonanno, Miok Park, Lesław Rachwał, Dario Zappalà. 2020-10-12. On the regularization of Lifshitz-type field theories. https://doi.org/10.1140/epjc%2Fs10052-020-08666-5

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