Renormalizable non-renormalizable theories
High Energy Physics - Theory
2009-10-07 v3
Abstract
The general prescription for constructing the continuum limit of a field theory is introduced. We then apply the prescription to construct the O(N) non-linear sigma model and the Gross-Neveu model in three dimensions using the large N expansions. We compare these non-linear models with the linearized models, and show the equivalence.
Cite
@article{arxiv.0909.3348,
title = {Renormalizable non-renormalizable theories},
author = {Hidenori Sonoda},
journal= {arXiv preprint arXiv:0909.3348},
year = {2009}
}
Comments
28 pages, 8 figures, added Ref. 3, typos in Appendix B.2 corrected