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Open Quantum Systems Decoherence

On the regularization of Lifshitz-type field theories

arXiv
Authors: Alfio Bonanno, Miok Park, Lesław Rachwał, Dario Zappalà

Year

2020

Paper ID

20010

Status

Preprint

Abstract Read

~2 min

Abstract Words

82

Citations

N/A

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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  • 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.

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