Reducible Connections in Massless Topological QCD and 4-manifolds

Details Reducible Connections in Massless Topological QCD and 4-manifolds Reducible Connections in Massless Topological QCD and 4-manifolds

1997-09-29

arxiv.org/abs/hep-th/9709203v3

Nucl.Phys. B522 (1998) 373-395

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, Latex, Some mistakes and typographical errors are revised in it. Especially, results written in section 4 are change

Scientific paper

10.1016/S0550-3213(98)00191-6

A role of reducible connections in Non-Abelian Seiberg-Witten invariants is analyzed with massless Topological QCD where monopole is extended to non-Abelian groups version. By giving small external fields, we found that vacuum expectation value can be separated into a part from Donaldson theory, a part from Abelian Monopole theory and a part from non-Abelian monopole theory. As a by-product, we find identities of U(1) topological invariants. In our proof, the duality relation and Higgs mechanism are not necessary.

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