Affordable Access

deepdyve-link
Publisher Website

Non-Trivial Directions for Scalar Fields

Authors
  • Halpern, Ken
  • Huang, Kerson
Type
Published Article
Publication Date
Oct 31, 1995
Submission Date
Oct 31, 1995
Identifiers
DOI: 10.1103/PhysRevD.53.3252
Source
arXiv
License
Unknown
External links

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.

Report this publication

Statistics

Seen <100 times