A remark on Witten effect for QCD monopoles in matrix quantum mechanics

Gregory Gabadadze; Zurab Kakushadze

doi:10.1142/S0217732399002212

A remark on Witten effect for QCD monopoles in matrix quantum mechanics

Gregory Gabadadze, Zurab Kakushadze

Research output: Contribution to journal › Article › peer-review

Abstract

In a recent work³ we argued that a certain matrix quantum mechanics may describe 't Hooft's monopoles which emerge in QCD when the theory is projected to its maximal Abelian subgroup. In this letter we find further evidence which supports this interpretation. We study the theory with a nonzero theta-term. In this case, 't Hooft's QCD monopoles become dyons since they acquire electric charges due to the Witten effect. We calculate a potential between a dyon and an anti-dyon in the matrix quantum mechanics, and find that the attractive force between them grows as the theta angle increases.

Original language	English (US)
Pages (from-to)	2151-2155
Number of pages	5
Journal	Modern Physics Letters A
Volume	14
Issue number	31
DOIs	https://doi.org/10.1142/S0217732399002212
State	Published - Oct 10 1999

ASJC Scopus subject areas

Nuclear and High Energy Physics
Astronomy and Astrophysics
General Physics and Astronomy

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title = "A remark on Witten effect for QCD monopoles in matrix quantum mechanics",

abstract = "In a recent work3 we argued that a certain matrix quantum mechanics may describe 't Hooft's monopoles which emerge in QCD when the theory is projected to its maximal Abelian subgroup. In this letter we find further evidence which supports this interpretation. We study the theory with a nonzero theta-term. In this case, 't Hooft's QCD monopoles become dyons since they acquire electric charges due to the Witten effect. We calculate a potential between a dyon and an anti-dyon in the matrix quantum mechanics, and find that the attractive force between them grows as the theta angle increases.",

author = "Gregory Gabadadze and Zurab Kakushadze",

note = "Funding Information: The work of G.G. was supported by the grant NSF PHY-94-23002. The work of Z.K. was supported in part by the grant NSF PHY-96-02074, and the DOE 1994 OJI award. Z.K. would also like to thank Albert and Ribena Yu for nancial support.",

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N2 - In a recent work3 we argued that a certain matrix quantum mechanics may describe 't Hooft's monopoles which emerge in QCD when the theory is projected to its maximal Abelian subgroup. In this letter we find further evidence which supports this interpretation. We study the theory with a nonzero theta-term. In this case, 't Hooft's QCD monopoles become dyons since they acquire electric charges due to the Witten effect. We calculate a potential between a dyon and an anti-dyon in the matrix quantum mechanics, and find that the attractive force between them grows as the theta angle increases.

AB - In a recent work3 we argued that a certain matrix quantum mechanics may describe 't Hooft's monopoles which emerge in QCD when the theory is projected to its maximal Abelian subgroup. In this letter we find further evidence which supports this interpretation. We study the theory with a nonzero theta-term. In this case, 't Hooft's QCD monopoles become dyons since they acquire electric charges due to the Witten effect. We calculate a potential between a dyon and an anti-dyon in the matrix quantum mechanics, and find that the attractive force between them grows as the theta angle increases.

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A remark on Witten effect for QCD monopoles in matrix quantum mechanics

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