Concerning the Double Scaling Limit in the $O(N)$ Vector Model in Four-Dimensions
High Energy Physics - Theory
2015-06-26 v1
Abstract
The 1/N expansion for the O(N) vector model in four dimensions is reconsidered. It is emphasized that the effective potential for this model becomes everywhere complex just at the critical point, which signals an unstable vacuum. Thus a critical O(N) vector model cannot be consistently defined in the 1/N expansion for four-dimensions, which makes the existence of a double-scaling limit for this theory doubtful.
Keywords
Cite
@article{arxiv.hep-th/9206045,
title = {Concerning the Double Scaling Limit in the $O(N)$ Vector Model in Four-Dimensions},
author = {Howard J. Schnitzer},
journal= {arXiv preprint arXiv:hep-th/9206045},
year = {2015}
}
Comments
6, BRX-TH-333