Eur. Phys. J. C 18, 587-592
Dynamics of multiparticle systems with non-abelian symmetryL. Turko1, 2 and J. Rafelski1
1 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
(Received: 10 March 2000 / Revised version: 7 July 2000/ Published online: 8 December 2000 -© Springer-Verlag 2000)
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