Affiliation:
1. Hebrew University of Jerusalem
2. Skolkovo Institute of Science and Technology
3. University of Kentucky
4. University of Minnesota
Abstract
We consider a UV-complete field-theoretic model in general dimensions, including d=2+1, which consists of two copies of the
long-range vector models, with O(m) and O(N-m) global symmetry groups,
perturbed by double-trace operators.
Using conformal perturbation theory
we find weakly-coupled IR fixed points for N\geq 6N≥6 that reveal a spontaneous
breaking of global symmetry. Namely, at finite temperature the lower rank group is broken,
with the pattern persisting at all temperatures due to scale-invariance.
We provide evidence that the models in question are unitary and invariant under full conformal symmetry.
Furthermore, we show that this model exhibits a continuous family of weakly interacting field theories at finite N.
Funder
Israel Science Foundation
National Science Foundation
United States Department of Energy
Subject
General Physics and Astronomy
Cited by
7 articles.
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