Affiliation:
1. Department of Physics, Brandeis University, Waltham, MA 02254, USA
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.
Publisher
World Scientific Pub Co Pte Lt
Subject
General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics
Cited by
13 articles.
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