Multiflavor QCD* on R3 × S1: Studying transition from Abelian to non-Abelian confinement

M. Shifman, M. Ünsal

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The center-stabilized multiflavor QCD* theories formulated on R3 × S1 exhibit both Abelian and non-Abelian confinement as a function of the S1 radius, similar to the Seiberg-Witten theory as a function of the mass deformation parameter. For sufficiently small number of flavors and small r (S1), 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 (S1), 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 languageEnglish (US)
Pages (from-to)491-494
Number of pages4
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number5
StatePublished - 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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