The Conformal Window of deformed CFT's in the planar limit

Details The Conformal Window of deformed CFT's in the planar limit The Conformal Window of deformed CFT's in the planar limit

2010-04-12

arxiv.org/abs/1004.2063v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages PRD class, 2 figures, to be published in PRD

Scientific paper

We discuss in the planar approximation the effect of double-trace deformations on CFT's. We show that this large class of models posses a conformal window describing a non-trivial flow between two fixed points of the renormalization group, and reveal the presence of a resonance which we associate to the remnant of a dilaton pole. As the conformal window shrinks to zero measure the theory undergoes a conformal phase transition separating a symmetric from a nonsymmetric phase. The recently conjectured strongly coupled branch of non-supersymmetric, non-abelian gauge theories with a large number of flavors is analyzed in light of these results, and a model for the strong branch is proposed. Some phenomenological implications in the context of unparticle physics are also emphasized.

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