Generalized Wilson-Fisher critical points from the conformal OPE

2016/11/30 by Ferdinando Gliozzi, Andrea Guerrieri, Anastasios C. Petkou +1 · 1 citation
Physics and Astronomy · #hep-th #cond-mat.stat-mech #hep-lat

paper · pdf · doi:10.1103/physrevlett.118.061601

published as Phys. Rev. Lett. 118, 061601 (2017) · 5 pages. v2: minor changes; v3: matched the published version

arxiv created 2017/02/11 · arxiv updated 2017/02/15

Abstract

We study possible smooth deformations of Generalized Free Conformal Field Theories in arbitrary dimensions by exploiting the singularity structure of the conformal blocks dictated by the null states. We derive in this way, at the first non trivial order in the ε-expansion, the anomalous dimensions of an infinite class of scalar local operators, without using the equations of motion. In the cases where other computational methods apply, the results agree.

Cited by

• The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points

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