Abstract
This work is dedicated to the study of both large-N and perturbative quantum behaviors of Lifshitz nonlinear sigma models with dynamical critical exponent z = 2 in 2+1 dimensions. We discuss renormalization and renormalization group aspects with emphasis on the possibility of emergence of Lorentz invariance at low energies. Contrarily to the per-turbative expansion, where in general the Lorentz symmetry restoration is delicate and may depend on stringent fine-tuning, our results provide a more favorable scenario in the large-N framework. We also consider supersymmetric extension in this nonrelativistic situation.
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Gomes, P.R., Gomes, M. Low-energy Lorentz invariance in Lifshitz nonlinear sigma models. J. High Energ. Phys. 2016, 173 (2016). https://doi.org/10.1007/JHEP06(2016)173
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DOI: https://doi.org/10.1007/JHEP06(2016)173