On the regularization of Lifshitz-type field theories

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 e...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2020-11, Vol.80 (11), Article 1081
Hauptverfasser: Bonanno, Alfio, Park, Miok, Rachwał, Lesław, Zappalà, Dario
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Sprache:eng
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Zusammenfassung: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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-020-08666-5