Non-singular instantons are shown to exist on noncommutative R4 even in U(1) gauge theory. Their existence is primarily due to the noncommutativity of the coordinates. The integer instanton number on the noncommutative R4 can be understood as winding number of the U(1) gauge field as well as dimension of a certain projection operator acting on the representation space of the noncommutative coordinates.
|Number of pages||13|
|Journal||Progress of Theoretical Physics Supplement|
|Publication status||Published - 2001|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)