Non Abelian Dual Maps in Path Space

Details Non Abelian Dual Maps in Path Space Non Abelian Dual Maps in Path Space

1999-05-04

arxiv.org/abs/hep-th/9905023v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex, to appear in International Journal of Modern Physics A

Scientific paper

10.1142/S0217732399000857

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.

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