Noncommutative Instantons on R^2_{NC} x R^2_C

Details Noncommutative Instantons on R^2_{NC} x R^2_C Noncommutative Instantons on R^2_{NC} x R^2_C

2001-09-17

arxiv.org/abs/hep-th/0109121v2

Phys.Lett. B523 (2001) 357-366

Physics

High Energy Physics

High Energy Physics - Theory

v2: 15 pages, 1 figure, Latex. Added comments for clarification. References added

Scientific paper

10.1016/S0370-2693(01)01354-5

We study U(1) and U(2) noncommutative instantons on R^2_{NC} x R^2_C based on the ADHM construction. It is shown that a mild singularity in the instanton solutions for both self-dual and anti-self-dual gauge fields always disappears in gauge invariant quantities and thus physically regular solutions can be constructed even though any projected states are not involved in the ADHM construction. Furthermore the instanton number is also an integer.

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