Notes on relevant, irrelevant, marginal and extremal double trace perturbations

@article{Porrati2016NotesOR,
  title={Notes on relevant, irrelevant, marginal and extremal double trace perturbations},
  author={Massimo Porrati and Cedric Yu},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2016},
  pages={1-18}
}
A bstractDouble trace deformations, that is products of two local operators, define perturbations of conformal field theories that can be studied exactly in the large-N limit. Even when the double trace deformation is irrelevant in the infrared, it is believed to flow to an ultraviolet fixed point. In this note we define the Källen-Lehmann representation of the two-point function of a local operator O in a theory perturbed by the square of such operator. We use such representation to discover… 
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