### Abstract

T Hooft proposed a model where quarks are confined by a chromomagnetic Meissner effect along the N-1 U(1) directions of the maximal Abelian subgroup of SU(N). This is the Abelian projection. I show that this model successfully interpolates from low N, where quarks are confined in a baglike region of perturbative vacuum embedded in the true nonperturbative vacuum, to the large-N limit. At large N quarks are confined in a shallow nonperturbative medium and the string tension is an N-independent constant. Confinement of adjoint quarks also properly evolves from screening at small N to confinement at infinite N with a string tension twice as large as for quarks in the fundamental representation.

Original language | English (US) |
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Pages (from-to) | 1934-1936 |

Number of pages | 3 |

Journal | Physical Review D |

Volume | 38 |

Issue number | 6 |

DOIs | |

State | Published - Jan 1 1988 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

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## Cite this

*Physical Review D*,

*38*(6), 1934-1936. https://doi.org/10.1103/PhysRevD.38.1934