Bootstrapping mixed correlators in three-dimensional cubic theories

doi:10.21468/SciPostPhys.6.3.035

Title: Bootstrapping mixed correlators in three-dimensional cubic theories

Full Record
Other Related Research

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:

Kousvos, Stefanos R. ^[1];

^[2]

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:: 2019-03-21

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.

Copy to clipboard


                    Kousvos, Stefanos R., & Stergiou, Andreas. Bootstrapping mixed correlators in three-dimensional cubic theories.  United States.  doi:10.21468/SciPostPhys.6.3.035.

Copy to clipboard


                    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.

Copy to clipboard


                    
@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}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

DOI: 10.21468/SciPostPhys.6.3.035

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Bootstrapping mixed correlators in the 3D Ising model

Journal Article Kos, Filip ; Poland, David ; Simmons-Duffin, David - Journal of High Energy Physics (Online)

We study the conformal bootstrap for systems of correlators involving nonidentical operators. The constraints of crossing symmetry and unitarity for such mixed correlators can be phrased in the language of semidefinite programming. We apply this formalism to the simplest system of mixed correlators in 3D CFTs with a Z ₂ global symmetry. For the leading Z ₂-odd operator σ and Z ₂-even operator ϵ, we obtain numerical constraints on the allowed dimensions (Δ _σ , Δ _ϵ ) assuming that σ and ϵ are the only relevant scalars in the theory. These constraints yield a small closed region in (Δmore »« less
Cited by 110
DOI: 10.1007/JHEP11(2014)109

Full Text Available
Bootstrapping the Three Dimensional Supersymmetric Ising Model

Journal Article Bobev, Nikolay ; El-Showk, Sheer ; Mazac, Dalimil ; ... - Physical Review Letters

Here, we implement the conformal bootstrap program for three dimensional conformal field theories with N=2 supersymmetry and find universal constraints on the spectrum of operator dimensions in these theories. By studying the bounds on the dimension of the first scalar appearing in the operator product expansion of a chiral and an antichiral primary, we find a kink at the expected location of the critical three dimensional N=2 Wess-Zumino model, which can be thought of as a supersymmetric analog of the critical Ising model. Focusing on this kink, we determine, to high accuracy, the low-lying spectrum of operator dimensions of themore »« less
Cited by 39
DOI: 10.1103/PhysRevLett.115.051601

Full Text Available
Bosonizing three-dimensional quiver gauge theories

Journal Article Jensen, Kristan ; Karch, Andreas - Journal of High Energy Physics (Online)

We start with the recently conjectured 3d bosonization dualities and gauge global symmetries to generate an infinite sequence of new dualities. These equate theories with non-Abelian product gauge groups and bifundamental matter. We uncover examples of Bose/Bose and Fermi/Fermi dualities, as well as a sequence of dualities between theories with scalar matter in two-index representations. Our conjectures are consistent with level/rank duality in massive phases.
DOI: 10.1007/jhep11(2017)018

Full Text Available
Two-point correlators in $N = 2$ gauge theories

Journal Article Billò, M. ; Fucito, F. ; Lerda, A. ; ... - Nuclear Physics. B

Here, we consider two-point correlators in SU(N) gauge theories on R ⁴ with N = 2 supersymmetry and N _f massless hypermultiplets in the fundamental representation. Using localization on S ₄, we compute the leading perturbative corrections to the two-point functions of chiral/anti-chiral operators made of scalar fields. The results are compared at two and three loops against direct field theory computations for some special operators whose correlators remain finite in perturbation theory at the specific loop order. In the conformal case, the match is shown up to two loops for a generic choice of operators and for arbitrary N.
Cited by 10
DOI: 10.1016/j.nuclphysb.2017.11.003

Full Text Available
Effects of two-dimensional magnetic uncertainties and three-dimensional error and perturbation fields on the Small Angle Slot divertor geometry and topology [Effects of two- and three-dimensional magnetic fields on the Small Angle Slot divertor magnetic topology]

Journal Article Trevisan, Gregorio L. ; Lao, Lang L. ; Evans, Todd E. ; ... - Nuclear Fusion

The Small Angle Slot (SAS) was recently installed on DIII-D as an advanced divertor, promising easier plasma detachment and lower temperatures across the whole target. A twofold study of the SAS magnetic topology is presented in this paper. On one hand, a twodimensional uncertainty quantification analysis is carried out through a Monte Carlo approach in order to understand the level of accuracy of two-dimensional equilibrium computations in reconstructing the strike point and angle onto the divertor. Under typical experimental conditions, the uncertainties are found to be roughly 6.8 mm and 0.56 deg, respectively. On the other hand, a three-dimensional “vacuum”more »« less
DOI: 10.1088/1741-4326/aa9dab

Full Text Available

Similar Records