On the regularization of Lifshitz-type field theories
High Energy Physics - Theory
2020-12-30 v1 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2010.05966,
title = {On the regularization of Lifshitz-type field theories},
author = {Alfio Bonanno and Miok Park and Lesław Rachwał and Dario Zappalà},
journal= {arXiv preprint arXiv:2010.05966},
year = {2020}
}
Comments
12 pages, 3 figures