## Abstract

Non-singular instantons are shown to exist on noncommutative R^{4} even in U(1) gauge theory. Their existence is primarily due to the noncommutativity of the coordinates. The integer instanton number on the noncommutative R^{4} 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.

Original language | English |
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Pages (from-to) | 79-91 |

Number of pages | 13 |

Journal | Progress of Theoretical Physics Supplement |

Issue number | 144 |

Publication status | Published - 2001 |

## All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

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