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Title: On the stability of the asymptotically free scalar field theories

Asymptotic freedom plays a vital role in our understanding of the theory of particle interactions. To have this property, one has to resort to a Non-abelian gauge theory with the number of colors equal to or greater than three (QCD). However, recent studies have shown that simple scalar field theories can possess this interesting property. These theories have non-Hermitian effective field forms but their classical potentials are bounded from above. In this work, we shall address the stability of the vacua of the bounded from above (−Φ{sup 4+n}) scalar field theories. Moreover, we shall cover the effect of the distribution of the Stokes wedges in the complex Φ-plane on the features of the vacuum condensate within these theories.
Authors:
 [1] ;  [2]
  1. Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, Doha (Qatar)
  2. (Egypt)
Publication Date:
OSTI Identifier:
22391339
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1653; Journal Issue: 1; Conference: APMAS 2014: 4. International Congress in Advances in Applied Physics and Materials Science, Fethiye (Turkey), 24-27 Apr 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMPTOTIC SOLUTIONS; COLOR MODEL; GAUGE INVARIANCE; PHI4-FIELD THEORY; POTENTIALS; QUANTUM CHROMODYNAMICS; SCALAR FIELDS; STABILITY; VACUUM STATES