Causality , analyticity and an IR obstruction to UV completion

@inproceedings{Adams2006CausalityA,
  title={Causality , analyticity and an IR obstruction to UV completion},
  author={A. Wilfrid Adams and Nima Arkani-Hamed and Sergei Dubovsky and Alberto Nicolis and Riccardo Rattazzi},
  year={2006}
}
We argue that certain apparently consistent low-energy effective field theories described by local, Lorentz-invariant Lagrangians, secretly exhibit macroscopic non-locality and cannot be embedded in any UV theory whose S-matrix satisfies canonical analyticity constraints. The obstruction involves the signs of a set of leading irrelevant operators, which must be strictly positive to ensure UV analyticity. An IR manifestation of this restriction is that the “wrong” signs lead to superluminal… CONTINUE READING
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