Perturbative construction of the two-dimensional O(N) non-linear sigma model with ERG
High Energy Physics - Theory
2017-06-14 v1
Abstract
We use the exact renormalization group (ERG) perturbatively to construct the Wilson action for the two-dimensional O(N) non-linear sigma model. The construction amounts to regularization of a non-linear symmetry with a momentum cutoff. A quadratically divergent potential is generated by the momentum cutoff, but its non-invariance is compensated by the jacobian of the non-linear symmetry transformation.
Keywords
Cite
@article{arxiv.0910.0351,
title = {Perturbative construction of the two-dimensional O(N) non-linear sigma model with ERG},
author = {Bekir Can Lutfuoglu and Hidenori Sonoda},
journal= {arXiv preprint arXiv:0910.0351},
year = {2017}
}
Comments
16 pages, 4 figures