Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point
arXiv:1007.0355
Abstract
We construct the general O(N)-symmetric non-linear sigma model in 2+1 spacetime dimensions at the Lifshitz point with dynamical critical exponent z=2. For a particular choice of the free parameters, the model is asymptotically free with the beta function coinciding to the one for the conventional sigma model in 1+1 dimensions. In this case, the model admits also a simple description in terms of adjoint currents.
23 pages, 2 figures
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Cited by in corpus (12)
- Black hole solutions in Horava-Lifshitz Gravity with cubic terms
- Spherically symmetric solutions in Covariant Horava-Lifshitz Gravity
- Properties of a consistent Lorentz-violating Abelian gauge theory
- Competing interactions and the Lifshitz-type Nonlinear Sigma Model
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- Dynamical mass generation in Lorentz-violating QED
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- Tree-Unitarity and renormalizability in Lifshitz-scaling theory -- as a toy model of Hořava's gravity theory