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

M. Shifman; M. Ünsal

doi:10.1016/j.physletb.2009.10.060

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

M. Shifman, M. Ünsal

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

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)
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	https://doi.org/10.1016/j.physletb.2009.10.060
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 .

Publisher link

10.1016/j.physletb.2009.10.060

Find It

Find It at U of M Libraries

Cite this

@article{8c374407c9d149cfb1061d14ad1a2ed5,

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

abstract = "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.",

author = "M. Shifman and M. {\"U}nsal",

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.{\"U}. is supported by the US Department of Energy Grant DE-AC02-76SF00515 .",

year = "2009",

month = nov,

day = "16",

doi = "10.1016/j.physletb.2009.10.060",

language = "English (US)",

volume = "681",

pages = "491--494",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "5",

}

TY - JOUR

T1 - Multiflavor QCD* on R3 × S1

T2 - Studying transition from Abelian to non-Abelian confinement

AU - Shifman, M.

AU - Ünsal, M.

N1 - 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 .

PY - 2009/11/16

Y1 - 2009/11/16

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=71849090415&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=71849090415&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2009.10.060

DO - 10.1016/j.physletb.2009.10.060

M3 - Article

AN - SCOPUS:71849090415

SN - 0370-2693

VL - 681

SP - 491

EP - 494

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

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

IS - 5

ER -