Comments on the U(2) Noncommutative Instanton

Details Comments on the U(2) Noncommutative Instanton Comments on the U(2) Noncommutative Instanton

2001-05-09

arxiv.org/abs/hep-th/0105085v1

Phys.Lett. B515 (2001) 206-212

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, no figures

Scientific paper

10.1016/S0370-2693(01)00846-2

We discuss the 't Hoof ansatz for instanton solutions in noncommutative U(2) Yang-Mills theory. We show that the extension of the ansatz leading to singular solutions in the commutative case, yields to non self-dual (or self-antidual) configurations in noncommutative space-time. A proposal leading to selfdual solutions with Q=1 topological charge (the equivalent of the regular BPST ansatz) can be engineered, but in that case the gauge field and the curvature are not Hermitian (although the resulting Lagrangian is real).

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