Decomposing the Yang-Mills field

1999/07/23 by Ludvig Faddeev, Antti J. Niemi · 4 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.1016/s0370-2693(99)01035-7

published as Phys.Lett.B464:90-93,1999 · 5 pages, latex, no figures

arxiv created 1999/07/23 · openalex publication_date 1999/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

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