Wilsonian renormalization group approach to the lower dimensional nonlinear sigma models

Details Wilsonian renormalization group approach to the lower dimensional nonlinear sigma models Wilsonian renormalization group approach to the lower dimensional nonlinear sigma models

2005-11-30

arxiv.org/abs/hep-th/0511300v1

Physics

High Energy Physics

High Energy Physics - Theory

To appear in the proceedings of 6th International Conference on Renormalization Group 2005 (RG2005), Helsinki, Finland 30 Augu

Scientific paper

In this paper, we study three dimensional NL$\sigma$Ms within two kind of nonperturbative methods; WRG and large-N expansion. First, we investigate the renormalizability of some NL$\sigma$Ms using WRG equation. We find that some models have a nontrivial UV fixed point and are renormalizable within nonperturbative method. Second, we study the phase structure of $CP^{N-1}$ and $Q^{N-2}$ models using large-N expansion. These two models have two and three phases respectively. At last, we construct the conformal field theories at the fixed point of the nonperturbative WRG $\beta$ function. This is the review of recently works and is based on the talk of the conference by EI.

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