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Topological Charge of U(1) Instantons by Kazuyuki, Furuuchi is a scholarly article available to read on EtoBox.

What is Topological Charge of U(1) Instantons about?

Non-singular instantons are shown to exist on noncommutative R^4 even with a U(1) gauge group. Their existence is primarily due to the noncommutativity of the space. The relation between U(1) instantons on noncommutative R^4 and the projection operators acting on the representation space of the noncommutative coordinates is reviewed. The integer number of instantons on the noncommutative R^4 can be understood as the winding number of the U(1) gauge field as well as the dimension of the projection on the representation space.

Author

Kazuyuki, Furuuchi

Published

2000

Language

EN