High-gradient operators in the N-vector model

Details High-gradient operators in the N-vector model High-gradient operators in the N-vector model

1996-10-14

arxiv.org/abs/cond-mat/9610106v2

Physics

Condensed Matter

Statistical Mechanics

18 pages, 4 Postscript figures; revised version contains two additional references and "Note added in proof"

Scientific paper

10.1016/S0550-3213(97)00131-4

It has been shown by several authors that a certain class of composite operators with many fields and gradients endangers the stability of nontrivial fixed points in 2+eps expansions for various models. This problem is so far unresolved. We investigate it in the N-vector model in an 1/N-expansion. By establishing an asymptotic naive addition law for anomalous dimensions we demonstrate that the first orders in the 2+eps expansion can lead to erroneous interpretations for high--gradient operators. While this makes us cautious against over--interpreting such expansions (either 2+eps or 1/N), the stability problem in the N-vector model persists also in first order in 1/N below three dimensions.

Affiliated with

Also associated with

No associations

Rating

High-gradient operators in the N-vector model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with High-gradient operators in the N-vector model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High-gradient operators in the N-vector model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-6445