Examples of Static Localized Solutions of Nonlinear Equations in 3+1 Dimensions. II Asymptotic Analysis
Abstract
A scaling operator conserved by selfinteracting nonlinear system, is introduced. Solutions of nonlinear equations, introduced in a previous article, are analysed with respect to their scaling properties. As a result, the solutions can be classified into two categories according to whether they are invariant for scalig or not. The ones which are not invariant for scaling are perturbative solutions. The other class of solutions are characteristic functions of the scaling operator with vanishing characteristic value and are nonperturbative. These are isolated solutions suitable for describing elementary particles.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 April 1986
 DOI:
 10.1143/PTP.75.953
 Bibcode:
 1986PThPh..75..953U