The CP(n) Model on Noncommutative Plane

Details The CP(n) Model on Noncommutative Plane The CP(n) Model on Noncommutative Plane

2000-07-18

arxiv.org/abs/hep-th/0007140v3

Phys.Lett. B498 (2001) 277-284

Physics

High Energy Physics

High Energy Physics - Theory

v3: 14 pages, Latex, Published version in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(01)00006-5

We construct the consistent CP(n) model on noncommutative plane. The Bogomolny bound on the energy is saturated by (anti-)self-dual solitons with integer topological charge, which is independent of their scaling and orientation. This integer quantization is satisfied for our general solutions, which turns out regular everywhere. We discuss the possible implication of our result to the instanton physics in Yang-Mills theories on noncommutative R^4.

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