Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-06-04
Phys.Rev. D62 (2000) 125016
Physics
High Energy Physics
High Energy Physics - Theory
Revtex, 14 pages, no figures. Abstract changed, strata analysis have been included, typos corrected, references added
Scientific paper
10.1103/PhysRevD.62.125016
The relation between SU(2) Yang-Mills mechanics, originated from the 4-dimensional SU(2) Yang-Mills theory under the supposition of spatial homogeneity of the gauge fields, and the Euler-Calogero-Moser model is discussed in the framework of Hamiltonian reduction. Two kinds of reductions of the degrees of freedom are considered: due to the gauge invariance and due to the discrete symmetry. In the former case, it is shown that after elimination of the gauge degrees of freedom from the SU(2) Yang-Mills mechanics the resulting unconstrained system represents the ID_3 Euler-Calogero-Moser model with an external fourth-order potential. Whereas in the latter, the IA_6 Euler-Calogero-Moser model embedded in an external potential is derived whose projection onto the invariant submanifold through the discrete symmetry coincides again with the SU(2) Yang-Mills mechanics. Based on this connection, the equations of motion of the SU(2) Yang-Mills mechanics in the limit of the zero coupling constant are presented in the Lax form.
Khvedelidze A. M.
Mladenov D. M.
No associations
LandOfFree
Euler-Calogero-Moser system from SU(2) Yang-Mills theory 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 Euler-Calogero-Moser system from SU(2) Yang-Mills theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Euler-Calogero-Moser system from SU(2) Yang-Mills theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-127042