Low-energy Lorentz invariance in Lifshitz nonlinear sigma models

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 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.