https://doi.org/10.1140/epjc/s10052-020-08666-5
Regular Article – Theoretical Physics
On the regularization of Lifshitz-type field theories
1
INAF, Osservatorio Astrofisico di Catania, via S. Sofia 78, 95123, Catania, Italy
2
INFN, Sezione di Catania, via S. Sofia 64, 95123, Catania, Italy
3
School of Physics, Korea Institute for Advanced Study, Seoul, 02455, Republic of Korea
4
Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, 36036-900, Brazil
* e-mail: grzerach@gmail.com
Received:
20
October
2020
Accepted:
12
November
2020
Published online:
23
November
2020
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.
© The Author(s), 2020
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