Planar Limit of Orientifold Field Theories and Emergent Center Symmetry

Details Planar Limit of Orientifold Field Theories and Emergent Center Symmetry Planar Limit of Orientifold Field Theories and Emergent Center Symmetry

2007-12-05

arxiv.org/abs/0712.0672v2

Phys.Rev.D77:045012,2008

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 1 figure. v2: typos corrected, refs. added

Scientific paper

10.1103/PhysRevD.77.045012

We 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.

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