Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG

Authors

BEKİR CAN LÜTFÜOĞLU
HIDENORI SONODA

DOI

10.3906/fiz-1701-5

Abstract

We use the exact renormalization group (ERG) perturbatively to construct the Wilson action for the two-dimensional O(N) nonlinear sigma model (NLSM). The construction amounts to regularization of a nonlinear symmetry with a momentum cutoff. We find out that the model is parameterized by three functions. We show how to tune them by imposing the Ward--Takahashi (WT) identity. We construct two composite operators that generate infinitesimal change of the coupling constant and the renormalization of the scalar fields. Finally we show how the beta functions and the anomalous dimensions arise in the model up to 1-loop.

Keywords

Exact renormalization group, nonlinear sigma models

First Page

244

Last Page

255

Recommended Citation

LÜTFÜOĞLU, BEKİR CAN and SONODA, HIDENORI (2017) "Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG," Turkish Journal of Physics: Vol. 41: No. 3, Article 7. https://doi.org/10.3906/fiz-1701-5
Available at: https://journals.tubitak.gov.tr/physics/vol41/iss3/7