Bootstrapping mixed correlators in three-dimensional cubic theories
Abstract
Three-dimensional theories with cubic symmetry are reported on using themachinery of the numerical conformal bootstrap. Crossing symmetry andunitarity are imposed on a set of mixed correlators, and various aspectsof the parameter space are probed for consistency. An isolated allowedregion in parameter space is found under certain assumptions involvingpushing operator dimensions above marginality, indicating the existenceof a conformal field theory in this region. The obtained results havepossible applications for ferromagnetic phase transitions as well asstructural phase transitions in crystals. They are in tension with previous ε expansion results, as noticed already in earlier work.
- Authors:
-
- Univ. of Crete, Heraklion (Greece)
- European Organization for Nuclear Research (CERN), Geneva (Switzerland); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1542858
- Report Number(s):
- LA-UR-19-25906
Journal ID: ISSN 2542-4653
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- SciPost Physics
- Additional Journal Information:
- Journal Volume: 6; Journal Issue: 3; Journal ID: ISSN 2542-4653
- Publisher:
- SciPost Foundation
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Kousvos, Stefanos R., and Stergiou, Andreas. Bootstrapping mixed correlators in three-dimensional cubic theories. United States: N. p., 2019.
Web. doi:10.21468/SciPostPhys.6.3.035.
Kousvos, Stefanos R., & Stergiou, Andreas. Bootstrapping mixed correlators in three-dimensional cubic theories. United States. https://doi.org/10.21468/SciPostPhys.6.3.035
Kousvos, Stefanos R., and Stergiou, Andreas. Thu .
"Bootstrapping mixed correlators in three-dimensional cubic theories". United States. https://doi.org/10.21468/SciPostPhys.6.3.035. https://www.osti.gov/servlets/purl/1542858.
@article{osti_1542858,
title = {Bootstrapping mixed correlators in three-dimensional cubic theories},
author = {Kousvos, Stefanos R. and Stergiou, Andreas},
abstractNote = {Three-dimensional theories with cubic symmetry are reported on using themachinery of the numerical conformal bootstrap. Crossing symmetry andunitarity are imposed on a set of mixed correlators, and various aspectsof the parameter space are probed for consistency. An isolated allowedregion in parameter space is found under certain assumptions involvingpushing operator dimensions above marginality, indicating the existenceof a conformal field theory in this region. The obtained results havepossible applications for ferromagnetic phase transitions as well asstructural phase transitions in crystals. They are in tension with previous ε expansion results, as noticed already in earlier work.},
doi = {10.21468/SciPostPhys.6.3.035},
journal = {SciPost Physics},
number = 3,
volume = 6,
place = {United States},
year = {2019},
month = {3}
}
Web of Science
Figures / Tables:

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Figures / Tables found in this record: