Location of Repository

O(3) Nonlinear

By Model Asymptotically Free, Adrian Patrascioiu and Erhard Seiler

Abstract

We report the results of a Monte Carlo study of the continuum limit of the two dimensional O(3) non-linear oe model. The notable finding is that it agrees very well with both the prediction inspired by Zamolodchikovs' S-matrix ansatz and with the continuum limit of the dodecahedron spin model. The latter finding renders the existence of asymptotic freedom in the O(3) model rather unlikely. Asymptotic freedom is one of the corner stones of modern particle physics. This special property of certain non-Abelian models is supposed to explain many remarkable properties of quantum field theory, such as the existence of a non-trivial continuum limit, the possibility of grand unification of all interactions, etc. This property was discovered in 1973 in perturbation theory (PT) [1, 2]. However the correctness of this technique within a nonperturbative setting, such as the one offered by lattice quantuum field theory, remains mathematically unsettled. In the past, we have repeatedly pointed..

Year: 1997
OAI identifier: oai:CiteSeerX.psu:10.1.1.31.5217
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://library.mppmu.mpg.de/mp... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.