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On the equivalence of the first and second order equations for gauge theories. (English) Zbl 0448.58029

58J99 Partial differential equations on manifolds; differential operators
53C80 Applications of global differential geometry to the sciences
58D17 Manifolds of metrics (especially Riemannian)
81T08 Constructive quantum field theory
Full Text: DOI
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[2] A proof that local minima of the Yang-Mills action are either self or anti-self dual is given in: Bourguignon, J. P., Lawson, H. B., Simons, J.: Proc. Nat. Acad. Sci., USA,76, 1550 (1979). A proof that there are no non-self dual solutions in an open neighborhood of a self-dual solution is given above and in: Flume: Phys. Lett.76B, 593 (1978) · Zbl 0408.53023 · doi:10.1073/pnas.76.4.1550
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