## Abstract

The center-stabilized multiflavor QCD^{*} theories formulated on R_{3} × S_{1} exhibit both Abelian and non-Abelian confinement as a function of the S_{1} radius, similar to the Seiberg-Witten theory as a function of the mass deformation parameter. For sufficiently small number of flavors and small r (S_{1}), we show occurrence of a mass gap in gauge fluctuations, and linear confinement. This is a regime of confinement without continuous chiral symmetry breaking (χ SB). Unlike one-flavor theories where there is no phase transition in r (S_{1}), the multiflavor theories possess a single phase transition associated with breaking of the continuous χ S. We conjecture that the scale of the χ SB is parametrically tied up with the scale of Abelian to non-Abelian confinement transition.

Original language | English (US) |
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Pages (from-to) | 491-494 |

Number of pages | 4 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 681 |

Issue number | 5 |

DOIs | |

State | Published - Nov 16 2009 |

### Bibliographical note

Funding Information:We are grateful to E. Poppitz for useful discussions. M.S. is supported in part by DOE Grant DE-FG02-94ER-40823 . The work of M.Ü. is supported by the US Department of Energy Grant DE-AC02-76SF00515 .

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