Dirac monopoles embedded in SU(N) gauge theory with the θ term

M. A. Zubkov

doi:10.1134/1.1541041

Dirac monopoles embedded in SU(N) gauge theory with the θ term

M. A. Zubkov

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

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Abstract

Dirac monopoles embedded in SU(N) gauge theory with the θ term are considered. For θ = 4πM (where M is half-integer and integer for N = 2 and N > 2, respectively), these monopoles acquire an SU(N) charge due to the θ term and become dyons. They belong to various (but not any) irreducible representations of the SU(N) group. The admissible representations are listed. Their minimum dimension increases with N. The basic result of the study is the representation of the partition function of any SU(N) model involving the θ term and complemented by singular gauge fields corresponding to the indicated monopoles in the form of a vacuum average of the product of Wilson loops viewed along the world lines of the monopoles. This vacuum average must be calculated in the corresponding model without the θ term.

Original language	English
Pages (from-to)	591-595
Number of pages	5
Journal	JETP Letters
Volume	76
Issue number	10
DOIs	https://doi.org/10.1134/1.1541041
State	Published - 25 Nov 2002
Externally published	Yes

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title = "Dirac monopoles embedded in SU(N) gauge theory with the θ term",

abstract = "Dirac monopoles embedded in SU(N) gauge theory with the θ term are considered. For θ = 4πM (where M is half-integer and integer for N = 2 and N > 2, respectively), these monopoles acquire an SU(N) charge due to the θ term and become dyons. They belong to various (but not any) irreducible representations of the SU(N) group. The admissible representations are listed. Their minimum dimension increases with N. The basic result of the study is the representation of the partition function of any SU(N) model involving the θ term and complemented by singular gauge fields corresponding to the indicated monopoles in the form of a vacuum average of the product of Wilson loops viewed along the world lines of the monopoles. This vacuum average must be calculated in the corresponding model without the θ term.",

author = "Zubkov, {M. A.}",

note = "Funding Information: I am grateful to M.I. Polikarpov, V.I. Zakharov, and F.V. Gubarev for stimulating discussions. This work was supported by INTAS (project no. 00-00111) and the U.S. Civilian Research and Development Foundation for the Independent States of the former Soviet Union (grant no. RP1-2364-MO-02).",

year = "2002",

month = nov,

day = "25",

doi = "10.1134/1.1541041",

language = "אנגלית",

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pages = "591--595",

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T1 - Dirac monopoles embedded in SU(N) gauge theory with the θ term

AU - Zubkov, M. A.

N1 - Funding Information: I am grateful to M.I. Polikarpov, V.I. Zakharov, and F.V. Gubarev for stimulating discussions. This work was supported by INTAS (project no. 00-00111) and the U.S. Civilian Research and Development Foundation for the Independent States of the former Soviet Union (grant no. RP1-2364-MO-02).

PY - 2002/11/25

Y1 - 2002/11/25

N2 - Dirac monopoles embedded in SU(N) gauge theory with the θ term are considered. For θ = 4πM (where M is half-integer and integer for N = 2 and N > 2, respectively), these monopoles acquire an SU(N) charge due to the θ term and become dyons. They belong to various (but not any) irreducible representations of the SU(N) group. The admissible representations are listed. Their minimum dimension increases with N. The basic result of the study is the representation of the partition function of any SU(N) model involving the θ term and complemented by singular gauge fields corresponding to the indicated monopoles in the form of a vacuum average of the product of Wilson loops viewed along the world lines of the monopoles. This vacuum average must be calculated in the corresponding model without the θ term.

AB - Dirac monopoles embedded in SU(N) gauge theory with the θ term are considered. For θ = 4πM (where M is half-integer and integer for N = 2 and N > 2, respectively), these monopoles acquire an SU(N) charge due to the θ term and become dyons. They belong to various (but not any) irreducible representations of the SU(N) group. The admissible representations are listed. Their minimum dimension increases with N. The basic result of the study is the representation of the partition function of any SU(N) model involving the θ term and complemented by singular gauge fields corresponding to the indicated monopoles in the form of a vacuum average of the product of Wilson loops viewed along the world lines of the monopoles. This vacuum average must be calculated in the corresponding model without the θ term.

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Dirac monopoles embedded in SU(N) gauge theory with the θ term

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