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 language||English (US)|
|Number of pages||4|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|State||Published - Nov 16 2009|
Bibliographical noteFunding 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 .