Non Abelian Dual Maps in Path Space
arXiv:hep-th/9905023 · doi:10.1142/S0217732399000857
Abstract
We study an extension of the procedure to construct duality transformations among abelian gauge theories to the non abelian case using a path space formulation. We define a pre-dual functional in path space and introduce a particular non local map among Lie algebra valued 1-form functionals that reduces to the ordinary Hodge-* duality map of the abelian theories. Further, we establish a full set of equations on path space representing the ordinary Yang Mills equations and Bianchi identities of non abelian gauge theories of 4-dimensional euclidean space.
12 pages, Latex, to appear in International Journal of Modern Physics A