### 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 |
---|---|

Pages (from-to) | 79-91 |

Number of pages | 13 |

Journal | Progress of Theoretical Physics Supplement |

Issue number | 144 |

Publication status | Published - 2001 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### Cite this

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^{4}',

*Progress of Theoretical Physics Supplement*, no. 144, pp. 79-91.

**"Topological" charge of U(1) instantons on noncommutative R ^{4}.** / Furuuchi, Kazuyuki.

Research output: Contribution to journal › Article

TY - JOUR

T1 - "Topological" charge of U(1) instantons on noncommutative R4

AU - Furuuchi, Kazuyuki

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/citedby.url?scp=0035542511&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0035542511

SP - 79

EP - 91

JO - Progress of Theoretical Physics Supplement

JF - Progress of Theoretical Physics Supplement

SN - 0375-9687

IS - 144

ER -