From baglike models to the large-Nc limit via the Abelian projection

Carl Rosenzweig

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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 languageEnglish (US)
Pages (from-to)1934-1936
Number of pages3
JournalPhysical Review D
Issue number6
StatePublished - 1988

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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