Eur. Phys. J. C 18, 587-592
DOI: 10.1007/s100520100534

Dynamics of multiparticle systems with non-abelian symmetry

L. Turko^{1, 2} and J. Rafelski<sup>1

1</sup>  Department of Physics, University of Arizona, Tucson, AZ 85721, USA
²  Institute of Theoretical Physics, University of Wroclaw, pl. Maksa Borna 9, 50-204 Wroclaw, Poland

turko@ift.uni.wroc.pl
rafelski@physics.arizona.edu

(Received: 10 March 2000 / Revised version: 7 July 2000/ Published online: 8 December 2000 -© Springer-Verlag 2000)

Abstract
We consider the dynamics governing the evolution of a many body system constrained by a nonabelian local symmetry. We obtain explicit forms of the global macroscopic condition assuring that at the microscopic level the evolution respects the overall symmetry constraint. We demonstrate the constraint mechanisms for the case of SU(2) system comprising particles in fundamental, and adjoint representations (`nucleons' and `pions').

© Società Italiana di Fisica, Springer-Verlag 2001