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Applications of dispersive sum rules: ε-expansion and holography

Dean Carmi, Joao Penedones, Joao A. Silva, Alexander Zhiboedov

28/9/20 Published in : arXiv:2009.13506

We use Mellin space dispersion relations together with Polyakov conditions to derive a family of sum rules for Conformal Field Theories (CFTs). The defining property of these sum rules is suppression of the contribution of the double twist operators. Firstly, we apply these sum rules to the Wilson-Fisher model in

d=4-\epsilon

  dimensions. We re-derive many of the known results to order

\epsilon^4

  and we make new predictions. No assumption of analyticity down to spin 0 was made. Secondly, we study holographic CFTs. We use dispersive sum rules to obtain tree-level and one-loop anomalous dimensions. Finally, we briefly discuss the contribution of heavy operators to the sum rules in UV complete holographic theories.

Entire article

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  • String Theory
  • Field Theory

Recent developments on quasineutral limits for Vlasov-type equations

An Operator Product Expansion for Form Factors

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