## Abstract

We consider CPN-1 models in d+1 dimensions around Lifshitz fixed points with dynamical critical exponent z, in the large-N expansion. It is shown that these models are asymptotically free and dynamically generate a mass for the CPN-1 fields for all d=z. We demonstrate that, for z=d=2, the initially nondynamical gauge field acquires kinetic terms in a way similar to usual CPN-1 models in 1+1 dimensions. Lorentz invariance emerges generically in the low-energy electrodynamics, with a nontrivial dielectric constant given by the inverse mass gap and a magnetic permeability which has a logarithmic dependence on scale. At a special multicritical point, the low-energy electrodynamics also has z=2, and an essentially singular dependence of the effective action on B=εij∂iAj.

Original language | English |
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Article number | 065006 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 80 |

Issue number | 6 |

DOIs | |

State | Published - Sep 4 2009 |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)