Affiliation:
1. University of Crete
2. European Organization for Nuclear Research
3. Los Alamos National Laboratory
Abstract
Three-dimensional theories with cubic symmetry are studied using the
machinery of the numerical conformal bootstrap. Crossing symmetry and
unitarity are imposed on a set of mixed correlators, and various aspects
of the parameter space are probed for consistency. An isolated allowed
region in parameter space is found under certain assumptions involving
pushing operator dimensions above marginality, indicating the existence
of a conformal field theory in this region. The obtained results have
possible applications for ferromagnetic phase transitions as well as
structural phase transitions in crystals. They are in tension with
previous \epsilonϵ
expansion results, as noticed already in earlier work.
Subject
General Physics and Astronomy
Cited by
30 articles.
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