Relativistic Particle with Torsion and Charged Particle in a Constant Electromagnetic Field: Identity of Evolution
Abstract
Description
The identity of classical motion is established for two physically different models, one of which is the relativistic particle with torsion, whose action contains higher derivatives and which is the effective system for the statistically charged particle interacting with the Chern-Simons U(1) gauge field, and another is the (2+1)-dimensional relativistic charged particle in external constant electromagnetic field.
LATEX, 7 pages. Introductory part on the physical motivation and new references are added. The revised version stresses the importance of the observed duality for understanding noncorrelated behaviour of the signs of squared velocity and energy-momentum vectors in the particle and string systems with higher derivatives
LATEX, 7 pages. Introductory part on the physical motivation and new references are added. The revised version stresses the importance of the observed duality for understanding noncorrelated behaviour of the signs of squared velocity and energy-momentum vectors in the particle and string systems with higher derivatives