Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-07-23
Phys.Lett.B464:90-93,1999
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, latex, no figures
Scientific paper
10.1016/S0370-2693(99)01035-7
Recently we have proposed a set of variables for describing the physical parameters of SU(N) Yang--Mills field. Here we propose an off-shell generalization of our Ansatz. For this we envoke the Darboux theorem to decompose arbitrary one-form with respect to some basis of one-forms. After a partial gauge fixing we identify these forms with the preimages of holomorphic and antiholomorphic forms on the coset space $ SU(N)/U(1)^{N-1}$, identified as a particular coadjoint orbit. This yields an off-shell gauge fixed decomposition of the Yang-Mills connection that contains our original variables in a natural fashion.
Faddeev Ludvig
Niemi Antti J.
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