Phase Space Structure of Non-Abelian Chern-Simons Particles

Details Phase Space Structure of Non-Abelian Chern-Simons Particles Phase Space Structure of Non-Abelian Chern-Simons Particles

1994-04-23

arxiv.org/abs/hep-th/9404146v1

J.Math.Phys. 35 (1994) 3959-3968

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, REVTEX 3.0, SNUTP-93-41

Scientific paper

10.1063/1.530896

We investigate the classical phase space structure of $N$ $SU(n+1)$ non-Abelian Chern-Simons (NACS) particles by first constructing the product space of associated $SU(n+1)$ bundle with ${\bf CP}^n$ as the fiber. We calculate the Poisson bracket using the symplectic structure on the associated bundle and find that the minimal substitution in the presence of external gauge fields is equivalent to the modification of symplectic structure by the addition of field strength two form. Then, we take a direct product of the associated bundle by the space of all connections and choose a specific connection by the condition of vanishing momentum map corresponding to the gauge transformation, thus recovering the quantum mechanical model of NACS particles in Ref.\cite{lo1}.

Affiliated with

Also associated with

No associations

Rating

Phase Space Structure of Non-Abelian Chern-Simons Particles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Phase Space Structure of Non-Abelian Chern-Simons Particles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase Space Structure of Non-Abelian Chern-Simons Particles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-596448