Non-Trivial Directions for Scalar Fields
High Energy Physics - Theory
2009-10-28 v1
Abstract
We study the eigenvectors of the renormalization-group matrix for scalar fields at the Gaussian fixed point, and find that that there exist ``relevant'' directions in parameter space. They correspond to theories with exponential potentials that are nontrivial and asymptotically free. All other potentials, including polynomial potentials, are ``irrelevant,'' and lead to trivial theories. Away from the Gaussian fixed point, renormalization does not induce derivative couplings, but it generates non-local interactions.
Cite
@article{arxiv.hep-th/9510240,
title = {Non-Trivial Directions for Scalar Fields},
author = {Ken Halpern and Kerson Huang},
journal= {arXiv preprint arXiv:hep-th/9510240},
year = {2009}
}
Comments
UUencoded LaTex, 15 pages + 3 postscript figures