Clusterization in a Class of Models of Classical Field Theory
Abstract
Using a simple nonlinear field theory as an example, problems of soliton existence, stability, dynamics, and statistics for the U (p,q) internal symmetry group in the R sub D,1 space-time are discussed. A number of mathematical and physical models belonging to this class are considered: in particular, the sine-Gordon equation (SG), 'phi-four' theory, the nonlinear Schroedinger equation (NSE), and the Landau-Lifshitz (LL) model, gauge equivalent to the latter. The existence of small-amplitude expansions makes it possible to calculate the soliton formfactors not only for solvable models such as SG, NSE, and LL in R sub 1,1 space, but also for a broader class of models in R sub D,1. Soliton stability properties imply that clustering (soliton creation) occurs at finite temperature in the framework of the models of more than one spatial dimension considered and may be regarded as a phase transition.
- Publication:
-
Nonlinear and Turbulent Processes in Physics
- Pub Date:
- 1984
- Bibcode:
- 1984ntpp.proc.1471M
- Keywords:
-
- Field Theory (Physics);
- Nuclear Physics;
- Particle Theory;
- Quantum Mechanics;
- Relativistic Effects;
- Solitary Waves;
- Bogoliubov Theory;
- Ferromagnetism;
- Fourier Transformation;
- Hadrons;
- High Energy Interactions;
- Phase Transformations;
- Schroedinger Equation;
- Superconductivity;
- Symmetry;
- Vacuum;
- Physics (General)