Affiliation:
1. École Polytechnique Fédérale de Lausanne
2. University of Haifa
3. European Organization for Nuclear Research
Abstract
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-\epsilond=4−ϵ
dimensions. We re-derive many of the known results to order
\epsilon^4ϵ4
and we make new predictions. No assumption of analyticity down to spin
00
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.
Funder
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Simons Foundation
Subject
General Physics and Astronomy
Cited by
28 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献