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Title: 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:
 [1]; ORCiD logo [2]
+ Show Author Affiliations
  1. Univ. of Crete, Heraklion (Greece)
  2. 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 Proceedings
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.
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Kousvos, Stefanos R., & Stergiou, Andreas. Bootstrapping mixed correlators in three-dimensional cubic theories. United States. doi:10.21468/SciPostPhys.6.3.035.
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Kousvos, Stefanos R., and Stergiou, Andreas. Thu . "Bootstrapping mixed correlators in three-dimensional cubic theories". United States. doi:10.21468/SciPostPhys.6.3.035. https://www.osti.gov/servlets/purl/1542858.
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@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 Proceedings},
number = 3,
volume = 6,
place = {United States},
year = {2019},
month = {3}
}
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Journal Article:
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DOI:  10.21468/SciPostPhys.6.3.035
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Figures / Tables:

Figure 1 Figure 1: Upper bound on the dimension of the first X operator in the $\phi_i$ x $\phi_j$ OPE. The red area is excluded.
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