Conformality or Confinement (II): One-flavor CFTs and Mixed-Representation QCD

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We study QCD-like four dimensional theories in the theoretically controlled framework of deformation theory and/or twisted partition function on S{sup 1} x R{sup 3}. By using duality, we show that a class of one-flavor theories exhibit new physical phenomena: discrete chiral symmetry breaking ({chi}SB) induced by the condensation of topological disorder operators, and confinement and the generation of mass gap due to new non-selfdual topological excitations. In the R{sup 4} limit, we argue that the mass gap disappears, the {chi}SB vacua are of runaway type, and the theory flows to a CFT. We also study mixed representation theories and find ... continued below

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33 pages

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Poppitz, Erich; U., /Toronto; Unsal, Mithat & /SLAC /Stanford U., Phys. Dept. August 26, 2010.

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We study QCD-like four dimensional theories in the theoretically controlled framework of deformation theory and/or twisted partition function on S{sup 1} x R{sup 3}. By using duality, we show that a class of one-flavor theories exhibit new physical phenomena: discrete chiral symmetry breaking ({chi}SB) induced by the condensation of topological disorder operators, and confinement and the generation of mass gap due to new non-selfdual topological excitations. In the R{sup 4} limit, we argue that the mass gap disappears, the {chi}SB vacua are of runaway type, and the theory flows to a CFT. We also study mixed representation theories and find abelian {chi}SB by topological operators charged under abelian chiral symmetries. These are reminiscent to, but distinct, from Seiberg-Witten theory with matter, where 4d monopoles have non-abelian chiral charge. This examination also helps us refine our recent bounds on the conformal window. In an Addendum, we also discuss mixed vectorlike/chiral representation theories, obtain bounds on their conformal windows, and compare with the all-order beta function results of arXiv:0911.0931.

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33 pages

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  • Journal Name: JHEP 0912:011,2009

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  • Report No.: SLAC-PUB-13798
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 992442
  • Archival Resource Key: ark:/67531/metadc1014855

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  • August 26, 2010

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  • Oct. 14, 2017, 8:36 a.m.

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  • Nov. 2, 2017, 7:31 p.m.

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Poppitz, Erich; U., /Toronto; Unsal, Mithat & /SLAC /Stanford U., Phys. Dept. Conformality or Confinement (II): One-flavor CFTs and Mixed-Representation QCD, article, August 26, 2010; [California]. (digital.library.unt.edu/ark:/67531/metadc1014855/: accessed January 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.