Planar Limit of Orientifold Field Theories and Emergent Center Symmetry

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dc.creatorArmoni, Adi
dc.creatorShifman, Mikhail
dc.creatorUnsal, Mithat
dc.date2007-12-05
dc.date2007-12-10
dc.date.accessioned2026-07-07T11:13:35Z
dc.date.available2026-07-07T11:13:35Z
dc.descriptionWe consider orientifold field theories (i.e. SU(N) Yang--Mills theories with fermions in the two-index symmetric or antisymmetric representations) on R3xS1 where the compact dimension can be either temporal or spatial. These theories are planar equivalent to supersymmetric Yang--Mills. The latter has Z_N center symmetry. The famous Polyakov criterion establishing confinement-deconfinement phase transition as that from Z_N symmetric to Z_N broken phase applies. At the Lagrangian level the orientifold theories have at most a Z_2 center. We discuss how the full Z_N center symmetry dynamically emerges in the orientifold theories in the limit N-->infinity. In the confining phase the manifestation of this enhancement is the existence of stable k-strings in the large-N limit of the orientifold theories. These strings are identical to those of supersymmetric Yang--Mills theories. We argue that critical temperatures (and other features) of the confinement-deconfinement phase transition are the same in the orientifold daughters and their supersymmetric parent up to 1/N corrections. We also discuss the Abelian and non-Abelian confining regimes of four-dimensional QCD-like theories.
dc.description28 pages, 1 figure. v2: typos corrected, refs. added
dc.identifierhttps://arxiv.org/abs/0712.0672
dc.identifierhttp://arxiv.org/abs/0712.0672
dc.identifierPhys.Rev.D77:045012,2008
dc.identifierdoi:10.1103/PhysRevD.77.045012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191768
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titlePlanar Limit of Orientifold Field Theories and Emergent Center Symmetry
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