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

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Abstract

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.

Original languageEnglish
Pages (from-to)79-91
Number of pages13
JournalProgress of Theoretical Physics Supplement
Issue number144
Publication statusPublished - 2001

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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