## 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 |
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Pages (from-to) | 591-595 |

Number of pages | 5 |

Journal | JETP Letters |

Volume | 76 |

Issue number | 10 |

DOIs | |

State | Published - 25 Nov 2002 |

Externally published | Yes |