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

Research output: Contribution to journalArticle

21 Citations (Scopus)

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

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instantons
integers
gauge theory
projection
operators

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

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title = "{"}Topological{"} charge of U(1) instantons on noncommutative R4",
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.",
author = "Kazuyuki Furuuchi",
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"Topological" charge of U(1) instantons on noncommutative R4. / Furuuchi, Kazuyuki.

In: Progress of Theoretical Physics Supplement, No. 144, 2001, p. 79-91.

Research output: Contribution to journalArticle

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